Yes, WW MF's are great for drying your car. Often I'll use a WW then follow up with a plusher MF to get off any remaining water drops. On your final rinse take the nozzle off your hose and more water will just sheet off making drying quicker/easier.
I prefer to use a sheepskin wash mitt, some like to use a chenille mitt or sponge, just make sure it is nice and plush and use the âہ“two bucketâ€Â� system to keep your mitt rinsed free of dirt/grit. You should use a second (different) one for wheels and other dirtier areas.
Tape is used for a couple of reasons. One it keeps polish, wax, and sealant off trim. Some products like AIO, VM, etc. wonâ€â„¢t stain plastic, trim, weatherstrip, etc. but many wax/polish products will.
Some detailers also tape off areas that are prone to having a thinner layer of clear coat like edges, ridges, etc.. This is mainly a concern if using a rotary because it is much more aggressive than a PC. You shouldnâ€â„¢t have to worry about doing that with a PC, but be aware of those areas and donâ€â„¢t polish too long on them with the PC when using an aggressive product and/or a cutting pad. Also a rotary can burn weatherstrip, again not as big a concern with a PC.