Screen Share with Clients?

I do a lot of videos where the client wants to see the footage or interview. Right now I'm either throwing huge timecode number on the video and they just give me a list of the bits/timecode. But I've also done it over the phone with people where we both just are watching the video and they are telling me changes and I edit it on the fly in FCP. Both ways are clunky though.

I was thinking about doing something where they could be watching my screen, that would be running FCP, and then I could just be editing as they point out clips they want. Has anyone done this? What programs are best for this where it would be good playback, don't care what quality its streaming, more care that its not choppy or freezing.