Hi Jane, I've had a cycle with Guy's. My CCG didn't have a waiting list so I was seen fairly quickly (referred by GP in Dec, intake appt Jan, repeat SA and HSG in Feb, EC April). They told us we could actually start sooner but we waited as I didn't feel ready. I'm not sure whether that might be slow compared to private, and whether you might be able to speed the process along as you've already had a cycle and presumably some of the preliminary testing. But if you're worried about time, you might want to ring them and ask as they'll be able to tell you how long it might take with your CCG.
I found the experience to be pretty straightforward. Wasn't too personalised but felt we were well taken-care of when we had some complications (unrelated to their care). Only thing that was a bit of a palaver was when they told us (incorrectly) we had lost our NHS funding, mid-cycle! Was a good few days of panic and back and forth before it was corrected but otherwise found them to be fine. Their success rates on HFEA are comparable with other clinics in London though I believe they do turn away some NHS funded patients if you have a lower chance of success (age, BMI, AMH etc.) Thought some of the consultants were fab, others a bit patronising, but all are active in IVF research so we felt they were making good recommendations, though it is a bit one size fits all.
The one drawback, and I'm not entirely certain if it's true, is that they seem to have a bit of a two tier system, and I believe private patients are given more options (will see lead consultant for all visits, earlier/later appointment times, etc.). I suspect this based on waiting area observations but don't have any actual proof!
Feel free to PM me if you've got more questions. xx