Cyanotypes are easy and fun to make. You can often buy premade cyanotype paper at the craft store. You don't need very much equipment at all. Just a board, a piece of glass, a shallow tray and some running water.
The problem, as I remember, with enlargers is that the glass elements of the lens and the condenser block most of the ultraviolet light from getting through to the sensitized paper. Cyanotype works by ultraviolet light. Therefore, the paper will never get enough UV to make a proper exposure.