I got a rat trap from TSC. Not the wooden kind, this is a double trap, set in an enclosure. I've gotten about a dozen chipmunks and 3 red squirrels. Peanut butter as bait seems to work well.
this trap
For the larger critters, I use live traps. Hubby relocated 1 red squirrel, but I have shot the rest. 4 possums, 1 rabbit, 1 wood chuck. We are overrun with critters this year, possibly due to the very mild winter we had.
I haven't removed it either. I did notice a slight difference in taste, but I have a rather blunt sense of taste and smell.