UK in Early February

I've visited London a number of times during winter. I actually prefer it when it is cold which means relatively few tourists are around. The city is in full swing with West End theater, concerts, opera, galleries, museums, restaurants, historic sites, pub crawls and bundled-up walks in the parks to keep you occupied. Outside London, pick a city and go explore it. You might catch a train to Cambridge or Oxford and spend some time there. It really depends upon your interests.

I agree with Tex - I love the UK in winter. Summer can be gorgeous, but it always seems like everywhere you go it's crammed with tourists. We just got back from a week in London, and had an incredible time, despite low gray skies and chilly wind. I don't even rule out going to the beach in January/February. Just wear appropriate clothing! And nipping into a pub for something refreshing seems that much more delightful when you've come into the warmth from outside. These days, every attraction you can think of has a website, so check for shortened winter hours... but truly, everything should be open for business as normal.