My condo has a SOHO box (kinda like this: https://is.alicdn.com/img/pb/248/723/708/708723248_743.JPG ) and the modem is placed inside it. Around the house there are 3 Ethernet ports.

The thing is, I can only use one of those ports since only one can be connected to the modem. The technician said I can get a router to enable all three ports around the house (basically modem -> router -> ethernet ports inside the soho).

My question is:
- Is this correct?
- What router should I get? I need something small and can support 100mbps connection. I don't need wifi since I have a router for that?
- Would having these routers make my connection degrade?

Thanks for the help. I'll gladly explain more if it's confusing.