Should I wait to have a tummy tuck until after I move?

I would highly recommend discussing this with your surgeon.
As a plastic surgeon, I would typically recommend that my patient avoid strenous and unrestricted type lifting for 3 months after surgery.
Exceptions could include a minor tummy tuck or one without a muscle repair.
The last thing you would want to do is spend this kind of effort and then have it compromised by doing something to disrupt it.
I hope this helps.