I live about 10-15 minutes away from BH and would highly recommend using the ferry into Port Jeff. My family use it all the time heading to Mass. and Vermont. It guarantees your travel time (you never know with congestion over the bridges) and gives the kids and yourself and enjoyable rest from the car especially on a nice day. Depending on how busy it is, 15 minutes to a max of a half hour is usually more than sufficient.
The shopping center that many of the other users mentioned (exit 62 - Nicholls Road)is great place for lodging and food. It has a Marriott, a great movie theatre, Chili's and a Charlie Browns Steak House, Wendys, and a new Italian restaurant has opened as well which has some great food. And if your looking for a place to swing, pitch, field or anything else in case of rain, I have a place not to far down the road where you could work out.