If you are a fan of the movie, or of Jean Shepherd stories, then I think you will enjoy the house. We took our family (we're from Minnesota) a few years ago and we all watch the Christmas Story each Christmas. So our girls were big fans too.
We took the house tour and the actor who portrayed "Randy" was actually there and we got our picture taken with him also got an autographed photo of him from the movie (where he is in his snowsuit and can't get his arms down.) It was a very enjoyable visit and the gift shop across the street was fun too. My daughter bought the bunny outfit!
That said, it is in an old neighborhood and the streets are rather narrow. I'm sure there is somewhere you could find to park somewhere near and then walk to the house/museum.