Personally, my favorite 'coon trap is the Havahart 1081. It is big enugh to sometimes catch more than one at a time and they seem to have no shyness about going inside. The next smaller one is also a good trap.....I think it's the 1079 model. Del's farm supply sells one called the Little Giant which is also a sturdy trap. You will get as many opinions on trap selection as there are trappers in the world.
I have used less expensive equipment (Harbor Freight) and caught 'coons with them. The problem with this situation is that a raccoon fights when it is caught and will destroy a flimsy trap to get away. In the end, you are left with a mangled trap and an 'educated' raccoon.