Where is the WPS?
It's the button on the back above the telephone ports. See post here for picture.
And while I am at it, how do I find the specs for the new router
Manufacture is Technicolor assuming you have the latest Wifi 6E model. The model number should be printed on the same sticker as the network name and password.
Might be a really obvious question but is Gateway being used in the generic form or was it manufactured by Gateway?
Generic. A gateway is a modem router combo unit, usually has phone too.