We had a Boston as our family dog when I was in high school. He lived for about 13 years and was really good for my dad when he and my mom became empty nesters.
We loved our dog. His name was General. However, he was <i>extremely</i> hyper, especially as a puppy. I can't even begin to describe how hyper he was. If all of your kids are older, it may be fine, if you can tolerate the loss of control. I wouldn't get one if I had little kids in the house. I've met some that aren't too hyper, but you never know which kind you'll get (unless you go with a full grown dog).
We didn't have too many of the problems DocRafiki mentioned, but he did have respiratory issues. Apparently a lot of dogs with flat noses do. It seems like he was always on antibiotics for bronchitus. (I was the designated medicine-giver because no one else could do it.) They always are more snotty than other dogs. When they get hyper, they spit up a little pile of mucus. It's pretty gross, but it's not hard to clean. He also had arthritus (sp?) or some kind of joint problem in his back hips. We had to get Cortisone shots every once in a while.
They are very strong, fast, coordinated dogs. You need a big fenced yard so that the dog will be able to get lots of room to exercise. You'll also have to "baby proof" to about 5 feet high. Those dogs can jump to incredible heights when they see something they want.