while you won't need more than one router, you can still use more than one. At home, I have two. My original wireless, which I only used wired for the various network jacks in the house and that is plugged into my DSL modem. Then my 2nd wireless router, that I use solely for wireless is plugged into my 1st router.
I end up with two different IP subnets. Still works seamlessly. When I jump on the wifi, I connect to the 2nd router, the 2nd router has it's IP address dynamically assigned from the 1st (I could have hard coded it too), but I did not have a need for a static, and the 1st router routes the traffic to the modem.
A downside of using two or more routers is that you will need to a different Wifi network id (SSID) for each router. So the network name will be different depending on which area of the park you will be. It's more management for you.
Like others said, stick with same brand for compatibility.
You will need two routers if you have more than 253 computers connecting to it, but the modem probably could not handle that load anyway.