If I could chime in late in the conversation here - you really don't need to separate the baby plant either. If you're putting it in a wide, shallow pot like a bulb pan, you could probably have a whole family of aloes in there with no problems. They naturally grow that way, in clumps of several crowns. This also will help prevent overwatering problems because of course, more crowns will use up more water.
Only if you wanted to have a whole new plant would you separate the baby