Touching base on what Ted Z. said, I went to Cooperstown a few years ago and stayed at the Rose and Thistle bed & breakfast and was thoroughly pleased. The owners are very nice people and cook a great breakfast. They have a website for prices, directions and phone numbers.
Its located on the edge of town, but still within walking distance of the Hall. I went in the fall and it was nice leaving the wheels behind and getting some walking in.
Also if you're a fan of micro breweries, there is a nice brewery called Cooperstown Brewery Company just 10 minutes south of Cooperstown in Milford. They serve some tasty beverages and their bottles are all labeled with baseball themes and make nice display pieces in your man cave. Whether you display them full or empty is your choice.
They also have a website for times & directions.
Hope this helps
Jantz