I agree with the comments above about the red line to/from US Cellular. Your hotel is probably no more than 5 blocks from the closest red line stop and it takes you right to the ballpark. There is enough parking nearby if you want to drive and the lots owned by the Sox are safe just expensive. I work in a building connected to the Hyatt, there are plenty of good restaurants around. If you want some recommendations for a place for the anniversary dinner, let me know what types of food you like and I will give you some ideas.