Yes, I would get bike shoes or spin shoes. My shoes work on all my bikes like my road bike (touring),mountian bike and my Proform.
The reasons are you will have a better grip on your feet to the bike like an extension plus you won't wear down your aerobic shoes. I would also suggest purchasing bike gloves, I use them on all my spin workouts, which I started in October. The towel thing doesn't work for me when your hands get dripping with sweat.