Moon Called by Patricia Briggs is the first book in the Mercy Thompson series and I really enjoyed it.
The Mercy Thompson series is loosely connected to the Alpha and Omega series with crossover characters but I don't think you need to read the Alpha and Omega series to understand and enjoy the Mercy Thompson series.
Mercy, or Mercedes, is a coyote shifter and is fairly kick ass. She was raised with werewolves, not easy for a coyote shifter, and doesn't put up with much from anyone. She also runs a successful garage. Mercy also lives next to the local Alpha, Adam, who she enjoys annoying for being too controlling. But when Adam is attacked and his daughter kidnapped, Mercy takes charge and doesn't give much of a damn what the Pack thinks about it. Of course, there is the small problem of the wolf who broke her heart showing up but what's one more thing to deal with, really? :)
Briggs gives us a lot of different kinds of paranormal characters in the series beside shifters. There are also vampires, who are hidden from humanity like the shifters, and fae, who revealed themselves to humans with not so good consequences. She also builds an interesting world that is pretty much like our own but with these hidden communities of paranormals. It makes me wonder who the new neighbors might be!
If you enjoy a strong female lead and like a variety of paranormal characters, I recommend you check out Moon Called and the Mercy Thompson series.