JSJ Hi.
I have never controlled Thames, but all deps of 27 need to stay at 3000 until clear of the LL-westerlies RMA.
Regarding descending traffic, early enough, but not too early in order to stay in your bit of airspace. You’d have to check the available maps to see what floor and ceiling are for each segment.
Do you establish the traffic on final for KB? It is potentially similar as with the issues reported in the LL thread and programmed routes. If possible, route it direct to the final approach fix if RNAV traffic, then switch to vectors to move it around the sky and establish it on final. If you could add some screenshots or a description how you route the traffic it can help working out why it happens. If I have time at some point I’ll see if I can have a go a Thames to see what’s what.
Cheers, C