Wireless Router in my shed

Hello great minds of r/networking!

I have a quick question regarding a wireless router. Let’s say I have some IoT devices in my shed. These do not have wireless network access but I would like them on the Internet to get updates and whatnot. Could I put a wireless router in my shed and have the wireless part connect to my Internet connection instead of broadcasting its own connection and use the ports on the router to provide Internet access to the IoT devices?

I have a Belkin N450 and Belkin N600 to choose from.

I have tried mostly with the N450 as an access point but it doesn’t show on my network and I can not ping anything on it.