You can window shop on Rodeo Drive in Bev Hills & have a wonderful lunch at the Cheesecake Factory. If you like Chinese food, there was (hopefully it's still there) a great little Chinese food restaurant on Camden drive (1 blk west of Rodeo) just south of (Little) Santa Monica Blvd. OH....I just thought of another wonderful restaurant but I forgot what street it's on "Il Fornaio" ~ it's one block east of Rodeo on the corner of (oh shoot, forgot that street name too!) Well, just walk over to the Georgio's of Bev Hills shop & then walk one block east from there & it's on the corner!! (These were all places I used to go to for lunch when I worked in Bev Hills.)
It's always fun just to drive on Sunset Blvd thru Bev Hills & then just turn down a street & drive by to look at the pretty mansions. You can get a map of the Star's homes. It's a fun thing to do. Baby will probably have a nice nap in the car!!
If you have time, go to Marina Del Rey ~ it's so picturesque. (Sigh...) I really miss living in CA!
Have a great time.