If you have an EASA CPL (or PPL, or ATPL) it's £45ish and some paperwork to get a separate UK licence with the same privileges issued. That just seemed a complete no-brainer to me, and I did so over a year ago.
Will I move my EASA licence to another country in due course? No idea, but it doesn't seem unlikely. Austro is spoken of warmly by those who know.
Whilst personally I also own an FAA CPL, I think its utility in Europe, including the UK, will remain somewhat limited.
G