These are different cameras for different jobs. I believe they share the same sensor, so choose the one best-suited for most of your shooting. You mentioned video which is a factor favoring the 60D for you, as it has an articulating LCD. I do not shoot video, and rarely use live view, so an articulating LCD is mostly worthless to me.
On the other hand, I wanted micro-focus adjustment, which the 60D does not have. (This was a disappointing down-grade from the 50D.) The 7D has this feature. I sometimes use wide apertures, and with the resulting shallow depth of field, focus must be absolutely perfect.
The 7D has more metal in the body, so it should be tougher than the 60D. This means the 7D is heavier, if I remember correctly. Of course, something as simple as a chronic or lingering shoulder injury may indicate lighter weight is better. My wife did not mind the weight of a Nikon D200, D300, or D300s, until she injured her right rotator cuff. I bought her a D7000 and lightweight Tamron zoom, and she was back in business. (She works for a government entity that specifies Nikon cameras.)
I have forgotten if the 7D has better weather-sealing than the 60D; I think it does. Weather-sealing is important to me; at work, I may have to shoot in the rain, or may have to wipe/flush contaminants from the outside of my
These are factors I recall from when I considered whether to buy a 60D or 7D, in the Autumn of 2010. My two main working cameras now? 7D. Your needs may vary.
Canon 5Ds R/7D2/7D/5D/40D/1D2N/M3; Nikon F6/D3s/D700/FM3A/1Dx/Coolpix A. Lens selection undergoing changes; some favorites: Zeiss 2/135 APO Sonnar, Canon 100mm f/2.8L Macro IS and 135L, Nikkor 14-24/2.8G and 24-70/2.8G.