Help with bridging DSL connection

My family has a DSL connection in the living room and I'm trying to figure out how to bridge the connection to my room on the floor below. I bought another router its a Linksys and it has 4 ports on it I was gonna put that one in the living room and bridge off it to the Westell 6100F that I'm gonna put in my room.

So what do i need, a 25 foot Cat.5 ethernet cable or a phone cord thats that long? Then after that I probably just go into the Verizon settings and change the router to bridge mode?

It depends on the DSL router that you have that the phone company sold you. Some have more than one connection for CAT5 some don't. If you have a genuine router then it can support more than one PC out of the box and all you need is a switch or hub. You don't really need two routers in the same location since most routers can handle as many as 255 IP addresses even if they can't really handle that much bandwidth.
Look up your router on the internet and see what it is capable of. There should be a manual that will tell you what it can do and what it can't.
If the phone company router can't handle more than one computer you can use a switch and static IP addresses and all should be fine.
Finally, bridging is something that not all routers can do and the router that would need to be set up as a bridge is the second router that you are adding not the original one.
I know that this doesn't make sense but the bridge is going to be from the telephone company's equipment to the new router then to the computers so the new router is the bridge.