As Marcus says, if you just stick to vanilla Moodle it should mostly work out of the box. However, for multimedia content you need to be aware of certain file types, and may need to tweak some of the Moodle settings. In particular make sure that mp3 audio, html5 audio and html5 video are turned on the site admin->appearance->media embedding menu.
The problem is that some browsers support html5 a bit differently. Notably Firefox still doesn't play mp3 audio. But if you restrict audio files to MP3 , Moodle will serve up flash players on desktop machines for MP3 and html5 players on mobile devices.
For video files MP4 will play on the mainstream browsers in HTML5, so keeping all videos in MP4 format should keep you pretty safe.
I hope that helps.
