Our family of four are coming to Boston for the July 4-July 6 weekend just to catch a game at Fenway for my son's 12th birthday present. We will be arriving rather late on July 4th after a week of tournament play in Cooperstown and leaving extremely early on July 6. Since we won't be at the hotel long, we would like to not break the bank on the hotel. Rather, we are planning to get up and do some things within and around Fenway on Saturday. What part of town or where would you suggest we stay? I like to use Hotwire or Last Minute Travel, but I need to know where the best parts of town are to stay. Thanks for your help!