Giving notice

Best to check with your local council as to what proof of identification they require. I’ve had my name changed by deed poll previously, but my passport & drivers licence was all my council needed to prove my identification when I gave notice.
Whilst I would hope all councils follow the same process, only your local council can advise what they do/don’t accept.

Usually, they just need your legal name, so you should be good. But it's always a good idea to check with the local authorities, just to be sure.