There are a few MP3 TTs on the market (or TTs that have an option to record to MP3). The alternative would be to just record your records to PC as raw wave files and run them through some kind of clean up software. The most important bit would be to have very good (stable speed) TTs and good fresh stylii. And you want to make extra sure that you have the TT speed dialed in correctly (the strobe ring).
I would like to point out something Phil has been emphasizing on here for a long time. Be absolutely sure about the reason you want to transfer vinyl. In MANY cases, what you have on vinyl is already out there in wav, mp3 or other lossy/lossless formats. It’s a lot of work to do it right (not so much the recording, but getting it to sound right) and you should really ask yourself if it’s worth the trouble.
I have lots of vinyl and started converted at some point. In the end I did about 25 12″-remixes and have used a handful of them once or twice. With all the tracks that are around these days, I would have managed to survive without them just fine (some I actually forgot I had!).
Greetinx,
Chuck