How to move stuff in EVE Online

First, consider not moving stuff. You can fail even if you play perfectly. Courier contracts let you pass risk to others and get collateral if they fail.
Never move PLEX, Skill Injectors/Extractors, or Skin licensesSKINs may fetch few thou ISK to 10s of bils

do not habitualize schlepping them around! they can be remotely activated. Instead, find a buyer in a trade Discord or forum and sell via Contracts.

Medium-Caution Hauling

You usually won't die if you only read and follow this section's advice, but survival is not guaranteed! Here's what HS/LS/NS mean (also, I call wormhole space JS for "J-Space").
Three precautions are always wise even if your cargo isn't super-valuable: never linger undocked, always use insta bookmarks at stations, always use perch BMs at sus gates.
If you're only moving through HS or non-Corruped LS, non-nullified instawarping or subsecond fits are usually safe
(click to show/hide examples)
In any space, if you always nullify as appropriate, tiny cargo can be moved in an instawarping Fleet Interceptor or up to ~13,000 m3 in a properly-cloaking Blockade Runner.
The rest of this guide is not about usually, it's about max caution. It isn't universally applicable. It assumes you're moving something precious and want to fly accordingly.

Max-Haution Hauling TLDR

This section is best skipped. It's all covered in full detail below. I have the attentive capacity of a half-dead sponge. Against Jam's advice, I'm
clicking to show/hide the TLDR. Sorry about your condition.

Scouts, Cloaks and Interdiction Nullifiers

Make & use an Omega (subscribed) scout alt. Shuttles work but are inadvisable. Covert Ops can cloak in warp and scan well. Fleet Ceptors are fast but conspicuous. Fits here.
Cloaks are essential for most subcap hauling. Covert is preferable. If using a non-covert cloak, use a fit that can do the cloak trick and practice before hauling.
Interdiction Nullifiers are vital for safely hauling through J-SpaceAKA JS. space accessible only via wormholes. They're also vital for hauling in NS & corrupted LS, but that is best avoided unless absolutely necessary.

Warnings

At stations, always use insta-undock and instadock bookmarks.
Don't pack all your possessions into one load and move it all at once like a dingleberry.
If warping off a wormhole, always activate a nullifier. Scouting ahead will not magically reveal cloaked bubblers on inholes. If you activated a nullifier, do not warp directly between gates/holes. Instead, warp to a perch or a safe as appropriate and wait out your cooldown cloaked. If you can avoid it, don't move valuables (including pricey pods) in shuttles, including Leopards. Smartbomb enthusiasts snack on them. Frigates are only mildly safer. If you'll be in JS/NS/LS, ponder the existence of Lancer Dreadnaughts. Lances are AoE weapons which disable docking and jumping. They're regularly used for that purpose. Separate buyer characters from hauler characters. Make big purchases with throwaway alts and contract or trade them to the pilot/hauler.

Traversing JS or Pochven

Use a ship with a cloak, an interdiction nullifier, and no burst jammer or Higgs Anchor. I won't cover moving freighters/JFs.
  1. two different procedures depending on whether your hauler has a covert or non-covert cloak:
  2. wait out the nullifier's cooldown cloaked while aligning to the hole, or to its BM if you're offgrid
  3. if you see with your eyeballs that the hole is clear, jump the scout through then jump the hauler through
  4. repeat steps 1-3 until you reach K-SpaceAKA KS. any High Security, Low Security, or Null Security system, i.e. any system connected to the main startgate network, i.e. not Pochven or J-Space then check whichever sections below are appropriate
Habitualize warping at range to your scout. Sometimes random disconnects affect one character but not another, and ships decloak when they disconnect. Max caution.

Traversing LS or NS

Remember that Lancers exist. If you're doing your one LS/NS→HS gate jump, remember that fact very well.
Never jump stargates or Ansiblexes while hauling in or between LS and NS! Use one of these methods instead:
  1. if moving to Jita, use a covert or cloak-trick-capable ship with a nullifier along with a scanning alt to enter Pochven with a filament then scan yourself out
  2. use a ship with a Jump Drive to travel. if you're going to HS, jump next-door to it then swap to an appropriate hauling ship from the "entirely HS" section below
  3. if you're in a corp/alliance, people may run bridging services with Titans, Rorquals, Carriers and/or Black Ops. they'll be cheap as chips
  4. spend some time scanning to find a wormhole route
If you must warp around within a LS or NS system, be mindful of the risks of interdiction and act appropriately.

Traversing entirely HS (no LS/NS/JS)

HS is the most dangerous space; take suicide gankers seriously. Also, don't haul with wardecced characters (a crossed swords icon appears here if wardecced).
  1. avoid ganking systems/pipes altogether if you have time to scan for a HS→HS wormhole
  2. if possible, ensure gankers won't be salivating over you by having ~1,000 or more EHP per every ~3 million ISK worth of stuff fitted & in any hold
  3. move in the smallest possible hull from this list that can carry your cargo
    1. 0 to 950 m3 - a subsecond Jackdaw like the one at the bottom of this page
      • you can get a subsecond Yak to 1053.4 m3 with QZGA, but drug-dependant fits add an extra element of risk
      • the Hecate is much cheaper & easier to make subsecond, but you can't meaningfully tank Hecates whereas you can get subsecond Yaks over 100,000 EHP
    2. 950 to 13,430 - this specific Viator fit, flown as I suggest. any other Blockade Runner will do if competently fit & piloted
      • the Deluge may be a better choice if you're moving stuff which can go into its 45,000 m3 Infrastructure Hold
      • always cloak on the first tick after you warp off a gate or you'll find out about ganking priorities really soon
    3. 13,430 to 62,500 - any Deep Space Transport fit to cloak trick with the rest of the fit in tank (the Torrent has a 90,000 m3 Infrastructure Hold)
      • I don't bother with Warp Core Stabilizers for HS since gankers use enough points of tackle to make them irrelevant
      • do not compromise tank for cargo expanders on DSTs. hyperspatial instead of tank rigs may be situationally appropriate, but they alter your EHP-per-ISK calculus
    4. over 62,500 - several DSTs or perhaps Freighters/JFs as the situation dictates (the Avalanche has a 3,000,000 m3 Infrastructure Hold)

Closing Remarks

Max-caution hauling demands a methodical approach to countermeasures against rare threats. Don't cut corners.

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