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EDIT: found a cheaper link.
Hand grinders are excellent value relative to electric ones per £ spent, so for your budget I'd definitely go manual -- you can reconsider when you get RSI :)
In addition to the Rhinoware suggested earlier, the Hario hand grinders are good. I use a Mini at work, it'll do any grind size down to espresso:
See: https://www.redber.co.uk/products/hario-mini-mill-slim-coffee-burr-grinder?utm_medium=cpc&utm_source=googlepla&variant=17588775493&gclid=CjwKCAiAr_TQBRB5EiwAC_QCq0Yr5Ivf8jn7Hl7U1qpFkcdlfwHOLXq1UE0BpPOnAW9B6RYJedN4KRoCHDoQAvD_BwE
Electric or manual?
Edit: I had acceptable results from http://www.krups.co.uk/coffee-grinder-gvx231
Good enough for french press, would not work for espresso.
Not sure how much they are but I seem to remember getting one in debenhams sale for about your budget