Variable bit rate versus constant bit rate?

You already know at what rate you want to convert the music into. Since a VBR is only going to lower the quality when it "thinks" that there isnt much change, CBR is a better method. Since you are looking for the best quality, I wouldn't rely on someone else's bit rate.

You can pretty much rely on codecs getting it right these days. Variable bit rate encoders are very careful about calculating a good compression ratio. In general, your best bet is to set a target bit rate (which defines audio quality) but enable VBR. In general, the codec will be smarter than you are.

You're not going to get the 'absolute best sound' with a lossy algorithm like MP3 or Ogg. Both of those are lossy encoders i.e. they throw away audio data. For most applications they're fine, but if you want to compress audio without degradation, then you will need to use a lossless encoder. The best one out there at the moment is the Free Lossless Audio Codec (FLAC). This will give you up to 50% compression (but not the 90%+ you get with lossy codecs).

VRB allocates fewer bits when things are relatively simple or changing slowly.

Depending on your source material VBR may or may not help make your encoded music be more compact.

Your biggest concern is that some MP3 players do not support VBR encoding. I have one such unit by Onkyo.

So it is safest to use constant bir rate encoding.

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