Sorry for the late reply, but yeah, essentially Ghosts and Birds. You can find the entire path to leveling up along with a general pet guide here: The Carnival - A Guide to Pets
I originally had Hound, but later removed it as I became more familiar with how the build worked. Definitely agree that it helps with buying you some extra time. Another one you can put points in is the blightfiend as it is a bit tankier than the Hound.