Your rabbit's configuration page is only available when he's on all blue mode.
In this mode, your rabbit emits a wireless network on which you can connect, and then get his configuration page to set him up.
The address of the configuration page is indeed http://192.168.0.1, but this will not lead to conflicts with your router, as this page is only available when your rabbit is in blue mode.
In normal mode (when your rabbit connects to your router, and then to the internet), he uses the DHCP of your router to get a local IP address, no conflict is possible.
Did you configure your rabbit to connect on your router, and then on the internet ?
In order to do so, you need a computer equipped with a wireless connection.
Feel free to ask if you don't know how to do, we will help you configuring your rabbit.