2 routers connected to one modem for public/private network

I'm planning to set up a network with two routers and one cable connection. One router will be for public wifi at my business and the other will be for my Point of sale system and private use. I think I have it figured out but want to double check the set up. Someone tell me if this isn't correct or if there's a better way of doing it.


Cable modem --> connect via ethernet to Router #1 WAN port. Router #1 Lan port 1: connect via ethernet to router #2 WAN.

Now, router 1 and 2 will have two different subnets; 192.168.1.x and 192.168.2.x respectively. Router #2 is the one that I should use for my private network and for the POS system since it can't be accessed by users from router #1 correct? I have DD-WRT installed on both routers but I plan on putting Tomato firmware for router #1 to limit bandwidth for public wifi and keep DD-WRT installed for router #2.

Thanks in advance!

setup looks good just make sure you disable the option to administrate the router#1 wirelessly.