Question about routers...

Basically I have one of these unfourtunetly I cant connect to XBOX Live by just using this so Im planning on getting a router... will any router work with this? I was planning on spending about £50...

Pretty much anything will do. If you don't plan on using WI-FI, be sure to login into the router to disable it. (I really don't see any plain ethernet routers anymore which is why I bring that up)