MOV is Apple's homebody: gorgeous on a Mac, awkward everywhere else. It was born in 1991, Apple's QuickTime team, and its real weak spot is traveling: Windows, Android and the web would all rather meet an MP4.
AAC is MP3's better-trained successor: cleaner sound from the same number of bits. Advanced Audio Coding: the default soundtrack of YouTube, iTunes and most MP4 video. That makes it the right destination when what you need is streaming-grade sound at friendly file sizes.