I am on a copper wire service with Talk Talk (only because I was with Pipex years ago. They offer an "up to 8 mbps" service. I have had occasional problems but am now getting 7 - 9 mbps. I find this perfectly ok for browsing and all such including "catch up" in I Player and the ITV equivalent. I prefer not to sign up for a long term contract (On a historic one month rolling one) and if I started again there are few ISP's offering it (I think Zen is the only one) Also I would prefer a uk based help line. Some say Plus net is good. With a decent router you should be fine with the speeds you mention . Do check if your local exchange is "ADSL2" enabled - you can put your line no into a BT search to see and check which ISP's offer ADSL2 (router needs to be capable.
OnePlus 5 review