Westerville Rec Center has Pee Wee Play on Mondays from 9:30-11:30 for kids 3 and under. 0-6 months are free. It's $3. I think it's great.
Graeter's in Dublin has scoops and shoots which is an indoor play area and it's nice. As well as free.
There is also Central Park Playland at Westerville Christian Church. Have never been there but hear it's nice. It's free. Here are there hours:11:45 a.m –12:30 p.m. Sunday, 9:30 a.m.–11 a.m. Tuesday, 6-8 p.m. Wednesday, 9:30 a.m.–11 a.m. Thursday, 10 a.m.–12 noon Saturday - See more at: https://www.columbusparent.com/content/stories/2012/01/fun-playground.html#sthash.fDzy4hco.dpuf
Re: Suggestions on where to go with a 1 yr old??