welcome, tical. you have two options:
option a: the easier but more expensive method. buy a nintendo wifi usb adapter and you can put it into your computer and it sends a wireless signal out to the wii and ds, so you can play that way.
option b: the less expensive, but less useful method. buy the Nintendo Lan Adapter that plugs into the Usb slot into the back of your wii from the router, so you can play that way, but it doesn't connect your ds.
if you don't have a ds, i recommend getting the Lan Adapter cord (20 dollars), if you do, get the wifi connector usb (40 dollars)