All three Windows OSes you mentioned work on TCP/IP networks, which is the common network type. As long as you have wireless adapters in each client system that are compatible with the router, and you have the drivers loaded for those adapters, you should be fine.
It is rare to not be compatible, but if you have older laptops that don't support newer encryption types, you could run into issues depending on how your wireless network is configured. But those issues you can worry about later.
My suggestion is to make sure the wireless adapters are installed and working properly on each system, then set up the router. Give the network a unique name (change the default password) and make sure all client systems can connect. Once they do, you can choose an encryption type and assign a password/passkey to the network. Every home router I have set up comes with steps to do all of this easily.