Routers don't mean wireless automatically. Wireless routers are
then wireless.
Routers alone can't provide internet access, because their
function is like their name. They only route, and nothing else.
Lai lai, read here - http://computer.howstuffworks.com/router.htm
Before buying anything, details are needed. While most routers
are able to support both ADSL and cable connections, but without
details of any kind, you will regret if things don't work out.
Who is your ISP? Starhub, Singnet or Pacnet?
Do you want your two computers to surf wirelessly, or one wired,
one wireless?
How confident are you with your computers? Such as installing
drivers? Or you prefer plug and play kind? Plug in, automatic
install, and start using?