Both are lossy compression formats. They throw away parts of the audio to achieve small file sizes.
AAC is considered to be more effective in that. 128 kbps AAC's and 160 - 192 kbps MP3's have about the same audio quality.
If you only use your songs on a Mac and an iPod, I would recommend AAC, which results in smaller file sizes at the same audio quality (or better quality at the same file size).
If you use your songs on a PC too and other devices (other than iPod), I would recommend MP3.
Although there is sufficient support for the AAC format, MP3's can be played with virtually every audio application and device.
I would not recommend to convert from AAC to MP3 or vice-versa.
Both formats use different algorithms (calculating methods) and converting will result in loss of audio quality.
If your song are from CDs, you're better of re-ripping them in the desired format.
You can find more information about the formats in these Wikis:
AAC;
MP3
Hope this helps.
M
17' iMac fp 800 MHz 768 MB RAM Mac OS X (10.4.7) Several ext. HD (backup and data)