Is there parking available close to the zoo or do you need to use their lot?

Yes, about a 3-4 min walk 17$ or free if you buy a membership that pays for itself if you go 2 times

They have parking right at the Zoo the price is $17 per car

You may be able to find parking but the lot was near by. Parking was like 17

Parking is free if you have a membership. Parking is also available near to the zoo.