Possibly Fairy castle cactus The other two are a bit tricky to tell in this pic but yes all succulents have the same care requirements. Cacti probably need slightly less water than the other 2 but they should be fine together 😆
I would separate the plants. The aeonium goes dormant in the summer while the other two will be growing. They all should be outside and they would do much better in a cactus mix soil. The one you have now looks very organic and may cause rot.