Is there public parking?

The zoo itself is free. If you cannot find street parking, which is hard around there then they have the pay lot which is around $20

I think it was $20 when I went.

Street parking is free but hard to find otherwise there's a pay lot

Yes

Just park in the neighborhood nearby and its only a couple blocks to walk there. Also, definitely check out the Conservatory while you're there.

I don't think so. I took public transportation.

Yes but it cost money