Best Compressor For Quicktime?

I'm editing a movie in Adobe Premiere. I need to save the movie in the Quicktime format in order to get it to play in a Macintosh computer at school. I would like to avoid saving it as an uncompressed MOV file because the filesize balloons when I do this. Is there a "standard" compressor to use that will shrink my filesize? I'm thinking of something like a DivX but for MOV files.

Thanks

try 3ivx.