Lots of great tips in the other thread, let me add a few more through hard-won experience:
1) Pack a "moving kit" separately and keep it with you, not in the moving van. These are things you'll want on the otherside before unpacking, or if unpacking gets delayed. A flashlight, an extension cord, a charger for your phone and/or laptop, basic tools (incluing hex keys for your Ikea!) a change of clothes and and a clean set of sheets (or a sleeping bag). Even if you're just moving across town, pack the things that you'll need for the first night, just in case.
2) Pack akward breakable items (like vases) with spare towels and sheets. These can act as valuable additional padding and might be the thing that keeps your delicates intact.
3) If there are things that you're not quite sure if you should donate or keep, pack them in a separate box, and when you get to your new home, don't unpack them. Put them out of the way and put a reminder on your calendar for 6 months later. If you manage to go 6 months without missing them, you can feel pretty safe that you can get rid of them.
4) Figure out what's worth diassembling and what's better to keep in one piece. Since you're here, I assume you've got a bunch of Ikea furniture, and much of it is better dissaembled, like LINNMON / ADILS (Desk) or IVAR. But some things like BESTÅ (Frame) travel very well in one piece and aren't worth taking apart.
My very rough rule of thumb is that if it's a chair, or a shelf/cabinet that has a back board (like BESTA, BILLY or PAX), leave it alone. If it it's a table or a shelf with no back (like IVAR or FJALLBO), it's probably easier taken apart. There are exceptions (like KALLAX/EXPEDIT that have no back, but usually travel well assembled), so use your best judgement.
Thre are probably more rattling around my brain somewhere, but it's bedtime.
