I think there is a place called Bebe Gate on Broad Ripple Ave., but I've never been inside. If you're wanting to shop local, down on Mass Ave, Silver in the City has a little corner of fun baby stuff and right across the street there's a children's store called Nurture. Hope this helps!
It has really cute stuff. The prices vary from reasonable to expensive so a good selection. They have some unique stuff which is nice so it is not the standard stuff found at BBB or BRU.
Re: Baby shop in Broadripple???
Yes. It is Bebe Gate...here is their site:
https://www.bebegateindy.com/