small rat issue

Poll of the Day

Long story short, my neighbors have rats. Not many, but they're starting to use my yard.
My yard is a pretty nice southwest yard, so there's bushes, birds, bunnies, flowers, etc.

Is there any way to deal with a couple rats that won't have an effect on the other living things?

I almost wanna remove a bush, but the flowers on it are so pretty and the bunnies like to go into it sometimes.

Are there any good traps or like rat specific deterrents?

This is a very new problem for me. With them coming from the neighbors, it's not like they're in one spot.
Warning: Sometimes biased
http://i.imgur.com/V0x5fw8.jpg http://i.imgur.com/IOovUge.gif http://i.imgur.com/zw7bqPH.jpg