Hi UKunsure,
I'm also in the UK and I'm 6 weeks post op after travelling to Hasson & Wong for FUT at the beginning of May.
From your photo, you look to about 5a, so achieving a full looking head of hair in a one-pass procedure would be difficulty unless you have a really good donor area with excellent laxity. You'd probably need >6000 grafts to achieve what you're looking for.
H&W visit London fairly regularly, so it's worth meeting with them when they're next in town. Rahal and Feller are other excellent options. FUE isn't probably worth considering at present, because of the coverage you need, but for a future top-up, Bisanga, Devroye and Feriduni in Brussels are all top-notch.
The situation in the UK is irritating given that cosmetic surgery is otherwise of a high standard. Farjo is the best, but they're surgically conservative and for my money concentrate too much on celebs and publicity.
Regards,
David