I don't mind iTunes and use it often and it certainly can help with doing a lot of mass edits and so on. Album artwork seems to be a little inconsistent though. I think if you use the "get info" menu option as Jimbo 88 suggests above you should be okay, but I have had instances where I've "lost" album artwork from files because I made the assumption that they were always embedded in the files themselves.
What I have found is that sometimes iTunes, Zune, Windows Media Player,etc. store the image in the folder where all the album tracks are or in a specific proprietary library file. I think this might be to avoid the "performance hit" of updating each and every mp3 file when you import a whole album or have iTunes retrieve missing album artwork (and if you stay within the app you won't notice the difference).
Although these tools may do what you want most of the time, I prefer not to rely on them and have found that mp3tag had never let me down. It's also good at all that mass editing stuff too, and since it's free you can try it easily....and maybe drop the developer a donation. FWIW, this tool has been around for a while and I believe is a popular app, so no worries of it going away any time soon.
Ps: ditto Jimbo 88's comments about putting all your contact info and web links into each mp3 file. It's good advice