I actually read the comments below after this company moved all of our stuff, and I couldn't believe it was the same company with all the bad comments below. The guy who moved us said they had some issues with previous workers and that they had let go a lot of bad workers and were properly training the new crew. This was our experience with 1st Integrity...
I bought the Living Social deal, which I thought was a steal (and made me a little weary of the situation) but I went ahead and bought it. I called to schedule and the lady on the phone was very pleasant, told me about the charges outside of the deal ($30 for being on the 2nd floor, and $85/hr after the first 3 hours) which I found to be reasonable. We set up a time frame for 8-9AM. The movers showed up at 8:30am, and began wrapping up our furniture and more valuable pieces. They moved very quickly and they were very polite. We went over by a few hours and were adequately charged. Then unloaded all of our boxes and furniture unharmed, and I didn't notice any damage. As much as I hate moving and vow to not move again for 20 years, I hope these guys are still around to move us again.