The UK Web Design Association (UKWDA) or your local Yellow Pages will give you plenty of designers in your area to choose from.
You can search the UKWDA by region and there are a lot of memmbers to sift through, so it's a reasonable starting block: click here
If you have a local Business Link then they will also be able to point you to web designers near you.
You could also try asking any other people you know who are in business who they use to design their sites.
Some of us in this forum are commercial designers but I doubt you'll find any of us who will say "Go to this person" or "Use that designer".
If I recommend someone and something goes wrong, that's a situation I'd rather not be caught in the middle of.
A quick look through the UKWDA, or Yellow Pages, or a call to your local Business Link will get you up and running in short order.
Good luck with it.