Strips pasted in the tub might come off with the kind of razor blade tool used to clean paint etc off glass. You could ask the landlord if they tried that, but re-glazing will make it like new, yes.

Professional movers are the way to go, and yes, multiple people move in and out on the same day and it can be somewhat nightmarish/amazing. Yes, it's possible to rent for half the month, don't know if you already had that arranged - this is a long thread and I didn't read it all.

Yes, a lot of cleaning is expected when you move out. The nicer the building,the more is expected.