Help please!! We are going to Boston for the first time ever from June 16-19, and are going to a Red Sox game on Thursday. I am a big baseball fan so I'm quite excited about this. We also want so see some history downtown, etc. We are staying in Woburn and renting a car-- both free with frequent traveler points as I travel for business frequently. I've heard parking is bad, etc. Since the rest of the trip is cheap, I don't mind paying for parking. My question is, is parking downtown or close to Fenway even available? If so, how much does it cost?

Anything we should specifically do while there? We'll have a couple of days to sightsee. Thanks a million for any help. Mark