Small local branch library with a designated children's section. Check out their website for story times and other events.
Check out the children's section.
You'll find some comfy chairs.
No parking lot; metered street parking is almost always scarce.
2940 Benvenue Ave
Berkeley, CA 94705
(at Ashby Ave)
mr michael's story and song time is legendary-- be prepared to wait in line for a ticket to enter (it's seriously that popular. once you hear him sing and engage with the kids, you'll see why.)