So. My old fridge finally went and I will be getting a new one delivered. The company that I am buying the new fridge from is going to haul away my old one. I noticed that I don't have any type of "shut off" behind my fridge for the water line. When I checked my basement, I noticed that there is a single shutoff for my entire bathroom + fridge water line.
My problem is, in order to haul away my old fridge, it has to be disconnected, thus disconnecting it from the water line and, in turn, putting my bathroom out of commission. Is there an easy way to remedy this (I googled around and saw mention of a non-piercing saddle value that can be used?) or should I just deal with having all the water off during disconnect, haul away and re-installation?
Below is a picture of my current situation.

I went to the hardware store and they gave me this. They said it was a bit overkill but it would work. Do you guys agree?

