I'm sure you'll get lots of suggestions, but in the meantime, just do a forum search for clippers and you should get tons of hits, the topic comes up every year about this time.
When I had just one mini, I bought a set of Wahl KM-2 clippers, and they worked just fine for clipping one mini; but when I added more minis I needed more power, so I bought a set of Oster Clipmasters (I had already borrowed a pair to try, so knew what I was getting into, they are a bit heavy and can be clumsy, especially if you have small hands, which I don't). I still use the Wahls for bridle paths and small stuff (like my little stallion).