Hi H.,
Since I do not exactly know where you live, here a few ideas, things that I do with my two girls (27 months and 8 months). Many of hte libraries, especially the main branch of a city offer some kind of free playroom and play areas for children. The Cleveland Heights and Shaker Heights main library have each a great playroom open during certain hours on weekdays (mornings and lat afternoons as well as SAturday morning). In CLeveland And Shaker heights there are so called Family CEnters (Shaker Family Center, Heights PArent Center) that offer drop in play groups for a fee or a small membership and I am sure other cities offer this too. At University cirlce there is the children's musuem, which is like a several room playgroup with settings and themes for kids to grow, learn and have fun. The children's msuuem has a very reasonable memebr shiop compared to their one day entry prices and that memberhsip makes for a great gift from relatives:-).
Someof the community centers offer drop in Gyms, I know Cleveland EHights does and The SHaker family center does,so check your local community center and library.
The natural history mueum, the indoor areas of the zoo, as well as the sCience Cetner are great places for kids to run and explore, almost everything is touchable or behind glass.
By the way, the Zoo is free on Mondays (if it is a holiday it is free on Tuesdays) for Cuyahoga resdients.
WE have been going to lot's of these places ever since my oldest one was a few weeks old. She had fun watching the kids and then started crawling around. Now my second is crawling everywhere for the last two months and it is a lot of fun and distraction for the kids.
Hope that helped you, T..