CD32 = Play CD32 and CDTV games without any messing about
A1200 CD-Rom= Play most CD32 and CDTV games but may have to mess about with different settings. IDE-Fix can help with CD32 games but not CDTV games. On a plus side you can also play A1200 CD games.
To avoid the Tower route you can get a squirrel off ebay.