Hi @Cappuccinfortwo
I've stayed there once, 20 years ago. For me, it was a once-in-a-lifetime event and it took me two years to save for it. We also had dinner there (Gordon Ramsay ran the restaurant at the time).
The entire experience was simply amazing from start to finish. I'm from an imigrant working class family, and was raised on a council estate. I was completely terrified that I'd feel totally out of place and break every social etiquette rule in the book! The staff could not have been nicer and completely put me at ease. There is no expectation to tip.
I'd told the reservations team about my reason for booking - we got a special tour of the kitchen during the gap between lunch and dinner service. GR wasn't there during our tour, but he came to our table after dinner to say he'd hoped we'd had an enjoyable evening. Quite a few famous people were there that night too!
The whole thing cost just over £1k (20 years ago) and it was worth every single penny.
Keep an eye on their own special offers page, and go for the less-popular days (Monday/Tuesday nights tend to be less expensive, but not by much).
If you don't have a specific date in mind, it might be worth investigating if the price drops significantly 'on the day', i.e. a very reduced rate rather than under-occupancy. In fact I'm sure they'd tell you if they do this if you phoned to enquire.