On Windows, dBpoweramp is a very good ripper. Personally for clean CDs I use J River ripping, since I use the J River player. I use dBpoweramp from damaged disks. It just seems to handle them better.
EAC used to be very popular, but dBpoweramp seems to pretty much replaced it for many people. EAC is very versatile but also somewhat hard to use and slow.
dBpoweramp has a feature called AccuRip which compares the checksums of your rip against those of previous rips by others. I have never had a rip that did not match, unless the CD was badly damaged. For me, it is nice but hardly essential. When I compare the bits in a file from J River and dBpoweramp they are always the same. dBpoweramp is a faster ripper, but then it takes time to get the files into the player. I would try dBpoweramp and your player and see how it goes.
Many people shy away from iTunes, either as a player or as a ripper on Windows.
wav files have no meta data. flac files are a common choice since they contain meta data. Some feel that wav sounds better than wav, but people are split on this. Without meta data in the file, if you change players you may have to redo all the meta data. If you do not want a compressed format, you can use flac at zero compression. There are implementations of wav that have meta data but they do not seem to be standard across players.