If anyone from the UK has had gum grafts, what were you charged for this? (I have no idea of the cost ranges, but can guess they are expensive

I have had some gum recession on my lower front teeth for a few years, and I was told by my dentist this was because of brushing too hard and my deep overbite.
I was inspecting my teeth earlier and noticed some gum recession on my upper front two teeth


I went to see my dentist in July because I had a few issues I was worried about. I was convinced I had gum disease. He checked my mouth and said I didn't have gum disease and told me he probed/pressed my gums quite hard but they did not bleed. He always say my teeth and gums are fine

Here are a couple of photos showing the recession on my two upper front teeth:
Here you can see the recession on the right front tooth (I am aware the teeth next to the front teeth have recession too)

Here you can see the recession on the left front tooth (I wanted to get a photo from the side, but my cameras battery died. It looks worse from the side because of how the tooth is positioned/angled!)

I haven't got a brace yet, my 2nd consultation (with a different Ortho) is in 2 weeks. I have read many a time that braces can cause some recession, so I am worried mine will get worse!
If you have gum recession prior to getting a brace, do Orthodontists normally suggest you get a gum graft prior to having the brace fitted? or do they suggest to wait until Orthodontic treatment is finished?