I saw in another thread that you are going to hike the Pfeifferhorn. Excellent choice, IMO.
I also second rmjwinters' comment that you can pretty much just pick a peak and be good. It's hard to go wrong in the Wasatch.
If you are up for a bit of a drive (maybe a couple hours from SLC) you could try out Mt. Nebo. It's the highest peak in the Wasatch Range and provides some great views across a large area of the state on a clear day. Closer to home, the Pfeifferhorn is probably my favorite so far. Lone Peak is another great one.
If you'd like a hiking partner for some of these Wasatch hikes, shoot me a PM. I do most of my hiking solo, but would be happy to join you for a hike.