The remote switch will work, but it’s a lousy solution. Unless the speakers are matched very well in terms of efficiency with the ones in the other room, what you really want is individual volume controls.
Here are your options:
First (and cheapest), is an L-pad. This is like a volume control, except the impedence that the amp sees does not change.
Something like this..
This allows you to not just switch the speakers off, but individually control the volume of the second set of speakers. You can also get them with an on-off switch, although I don’t know if it’s necessary. I have a couple of these pads, and when they are turned all the way down no sound comes out of the speakers at all.
However, these switches require that you run the speaker cables for both speaker to the switch, and from the switch to the stereo. Can you do that? Or are your wires in the wall and not accessible?
A more elegant solution is to go with an infra-red extender, and control the volume at the source. You can get speaker switches/volume controls that sit with your stereo gear and can be controlled with an infra-red remote. Then you can get a powermid IR extender to control it from your other room. But this solution will cost you at least $300.
The best solution for you might be to replace your receiver with a cheap 2-zone receiver. A 2-zone receiver will not only allow you to control your second speakers from the other room (again, with a $49 powermid remote extender), but you can actually play different sources at the same time, so one person can be listening to a CD while the person in the other room listens to the radio.
You should be able to find a receiver with a second zone starting around $300. This will give you the most flexibility, ease of installation (you don’t have to change anything about the way stuff is wired up now), etc.
There are other ways to go as well. There are multi-zone amplifiers, whole-house audio systems, etc. Mostly, big bux.
One other thing - you say that right now you are twisting and untwisting the wires. If you can’t switch from A to B speakers, then wiring all four up at once is going to cause your speaker impedence to drop. If you have 2 8 ohm speakers, putting two more in parallel with them will drop the load to 4 ohms, which will make the amplifier work harder (if it’s a cheap amp, it may not handle it). If your speakers are 4 ohms already, you’d be better off wiring them in series, but that might be very hard to do with your setup.
I think your best solution is upgrading to a 2-zone receiver, if you can afford it.