+1 for EAC for BOTH ripping & burning. My experience with new discs is over 99% of new discs rip perfectly with EAC. With used, it's still 90+%. I mostly just rip, but over the years have probably burned over a hundred discs with no problems.
If you're hard on CDs, you may end up wanting to spend a few bucks on dbpoweramp, which uses the same ripping software but has a better interface for dealing with tricky discs.
I think it's likely the documentation is better on the paid product, but trial & error will get you there. I rip the disc & save the cue file in the same folder. If you move the folder, you have to change the cue file (it's a text file - Notepad comes with Windows, no idea on iOS)