Cheaper isn't necessarily better. In most cases, the better traps are more expensive.
I tend to prefer Tru-catch traps for the design. They seem to rust a little at the corners, but I prefer to them to the Tomahawk traps (2nd pick) and definitely better than the Hav-A-Hart.
What makes Tru-catch different is that the door is *not* spring loaded. It falls based on gravity when it's tripped. So it's really easy to set varying amounts of tension and there's no concern about the door slamming down. The brown color tends to blend-in with bushes really well, so I'm usually less concerned about someone disturbing the trap.http://www.animal-traps.com/36.htm
The two-door design makes it easy to release non-target animals. To release a undesired animal, you just lift the latch. Conversely, the Tomahawk traps have a more involved clip.
We get the 36D -- it's not cheap ($65-$70), but it gives the animals a little more room to stretch.
Neighborhood Cats in NYC recommends that trap and also Safeguard traps. I haven't used the latter, so I don't know how they compare.http://www.neighborhoodcats.org/info/recommendtrap.htm