OK, lovely Ooma experts, I need your help once again!

I have a three phone Panasonic cordless system. The base unit plugs into Ooma, the rest plug into standard electrical outlets around the house.

Random question: Is there something that would be the equivalent to a "port extender" that would allow me to plug something else into the Ooma, and then plug the base unit in elsewhere in the house?

Long explanation:

Our cable and internet come into our condo through our pantry, which isn't a big pantry, but rather a small closet (that just happens to have two huge drain pipes running through it) unrelated to this question but mentioned because I want to emphasize how little room there is in the pantry. The router is on the top shelf hidden behind a panel.

I've always had a port extender plugged into the router and then the Ooma plugged into the port extender elsewhere in the house because, well, having Ooma and my base unit in the back of a closet on a shelf/space I can't access easily just seems ridiculous. (And I already get enough grief from Mr. CE for having a "landline" in the first place.)

Anyway, my phone call quality has been lousy for a while now -- people complain of hearing an echo, though I can't hear it. And today the Ooma went offline and wouldn't go back online until I moved the entire thing into the pantry. But I really don't want to have a phone in my pantry because, well, I'm not regularly in the pantry when my phone rings. Any solutions?

(Moving the router elsewhere in the house isn't an optimal solution, but might be an option if -- and this is a big if -- the router can attach to any cable outlet in the house.)