Hi, I was hoping someone could help give me the types or names of succulents these are. I recently purchased them without even knowing their names! I just wanted to make sure I was giving them the proper care they need. Thank you!

Hi & welcome! The first one looks like this to me:
Buttons on a String (Crassula rupestris)

The reddish one looks like a hybrid, like Sedeveria. I have this kind that changes colors throughout the year:
Sedeveria (XSedeveria Sorrento™)

The last one looks like an Anacampseros. When I got mine, it was green like yours & the hairs very visible. I put a pic among the others here, of more normal looking plants in more light.
Sand Rose (Anacampseros rufescens)

Will they be inside? If so, put them as close as possible to your best E/S/W window (assuming you're in the north hemisphere.)