You can start showering her with you as early as you like. We started with Elliot when he was about 3 months old and now
he has a couple a week with either DH or myself and he has his bath time, which he loves.
You can keep her in the plastic bath, but the bigger the get, the more splashes!

Maybe you can start trying her in the
shower now, see how you go before you move, and then make a decision. Give it a few goes before you give up though - for
some it might be an acquired experience!

Also, the other suggestion I would have - does this new place have a laundry
tub? You could always bath her in that, as it should be quite deep!
Good luck with the move!