Maxim, I was going to start a thread about this which I will when time permits.
The way I packed up my misc heavy stuff is this:
There are a number (4-5 usually) of independently supported "shelves" internal to the crate which have any number of things strapped or screwed to them. I bought a roll of heavy brown kraft paper from the local Home Dee for helping to keep smaller/lighter items apart in transit. Usual tactic was to position the heavy things, screw/block them down, and then fill in the gaps with lighter items. I have basically $50 or so in each crate in terms of wood, the pallet was free. I added the two steel "belt" bands just to prevent a nasty on-road blowout. I do trust the wood screws but my stuff scattered all over the highway was an ugly picture I didn't want to have to deal with. One side panel has the plywood sawed in half (top to bottom) just for ease of reaching the bottom, and screwed back into completion as the crate fills.
Note carefully what's on each shelf...I have this recorded in my "shop notebook". Also try to be strategic so that certain things are on the last/top shelf and can be accessed simply by removing the wood-screws from the top. Use liberal LPS3 or some other rust-preventative on anything which could pickup some surface rust.
The key piece of this which you've probably nearly instantly noted is that it requires a forklift to handle, but that's the advantage of having the lift is the ability to densely pack (I estimate 2000 lbs for one of the pallets). Without the forklift it could be moved with a pallet jack, or simply built upon a trailer and loaded/unloaded right there.
Drill-rod lengths will fit in there.
For long pieces, I'll build a shallow, long crate. I have a pallet that I picked up which is that size, I just need to get the plywood bottom and sides made up. Another possibility is to use the steel banding to a flat skid and go that route, although I like the extra security of having wooden sides and top in case something were to get loose.
Possibly another option is to rent a forklift for a day. It's not serious money and they pickup and deliver on a large-sized rollback truck.
Good luck with your move and drink plenty of water
Adding: for scale, the crate is 4' wide, 3' deep front/back from the photo, and 4' tall. The pallet is kind of a non-standard offering but worked well.