Start at the bottom where it doesn't matter so much.
Smash one off carefully using hammer/old wood chisel.
Then try to get behind the rest with a strong scraper and hammer.
If they pop off, they've been fixed with tubbed adhesive and you'll be fine getting the rest off. If they break and won't come off in one piece, then they have been fixed with powdered adhesive and you've no chance.
If the latter, you will need to trim the tiles in situ with a straight edge and angle grinder with a diamond blade. It WILL be very dusty. Test fit the bath several times first to make sure you get it right.
Silicone the bath rim to the wall where the old tiles where very heavily and mechanically fix also. Then finish the tile/bath with Dow 785 sanitary silicone.