Re: And what you neglected to mention:
"...and move to the centre of a big city"
Sadly, no. Centres of big cities have many reasons to have crap connections, from difficulty routing copper in efficient manners (no shortcuts through fields), difficulty fixing existing copper, congestion as it's harder to put additional infrastructure in, less chance of FTTC as BT don't want their business customers working there moving off expensive leased lines, not to mention less room to put new FTTC cabinets in.
I live in the centre of a big city and experience all these problems.