Transferring gil between servers seems to be a problem.

My best advice would be make an alt on the world you're moving too, take a look at the MB for things that are expensive there, and check their history too. If they seem to be consistent and high price sellers, then you might be wise to buy a few (or a stack or two if materials) to take with you in your inventory. Of course you want to be wary of flooding the market if the items are rare on the target world. You may find that some things are less expensive on your present world, and quite lucrative on the target. So they may make ideal items to move.