First time applicant with different name than on birth certificate

Hi,

I'm a first time applicant born/living abroad, and I have a question about required documents.

I changed my name legally in the UK, and as such it is different to what I have on my birth certificate. My UK passport is in my new/changed name, and so are all the other supporting documents I will be sending.

Are there any other documents I need to send specifically about the name change?

Happy to give more context/information if it helps, thanks in advance!