I might not be much help here as my experience has pretty much just been enough to say where NOT to rent. However we did look at one place that we really liked but we have 3 cats and they didn't allow that many (even though they told us over the phone they did). It seemed very quiet, very nice, a good place to live. We would have really liked to have gotten in there.
Kodiak Apartments Byron MN near Rochester Minnesota It doesn't say on the page that I can see that they allow pets, but I believe if you download an application it does have the pet info on there. I think it's at least worth looking into.