I'm traveling to London for 6 days over New Year holiday this Dec. Would like to spend additional 5 days, 4 nights somewhere outside of London (except Paris, been there already). The travel time will be 1/2-1/6 for side trip. Havent traveled this time of year, so not sure how bad the weather may be. I'm from Chicago, so not scared of the cold, just hoping for no rain. Am considering Brussels/Brugge area? Would like to have easy access by train 2-3 hrs max from London, but somewhere that would have great sightseeing for those days. Looking for recommendations from other travelers, I'm looking for a home base for those days, possibly w/other side day trips from that location. I will be flying back to US from London on 1/6, so whereever I go, will need to get back to Heathrow. Other options, Amsterdam? Budapest? Prague? what would be better for sightseeing in winter time?