Boths webpages have distracting elements that aren't essential to the enterprise (zoo). The focal point should be the animals first then the company second. Reason for that is to deliver a message that the zoo puts the welfare of the animals first... without having to tell that in black and white. To do that, you have to make your website as simple as possible.
At least http://funjack.azurewebsites.net is a responsive website. That's a very big plus and very good start. Also start by changing the domain name.
I'll give 2 zoo website samples as an initial reference.
http://www.nashvillezoo.org
http://reidparkzoo.org