You have basically answered your own question. Creating two vlans is the best way to keep the sections separated. So, when you setup your wireless, create a different vlan for it by changing the third octet of the address. Also, when connecting the two routers, don’t forget to use a cross-connect cable. A regular straight-through cable will not work.
If you really want to plan it out and test it, download Cisco Packet Tracer and input your addresses and test it. This will save you many man-hours and frustration on what went wrong where.