And as for the ignitor, I'd consider using 2 Estes model rocket ignitors per bottle rocket, connect them using a gunpowder or rocket fuel and super glue or epoxy mixture, making sure the superglue doesn't block the rocket fuel/gunpowder.
Those things run on 3v dc, so it won't take much to make them blow.
As for how to set them up, I'd suggest 2 bottle rockets per ignition sequence, so if you set up a board with 10 toggle switches, each of them activating a different IR signal (different IR transmitter frequencies) you can launch 20 bottle rockets with it.
Hope that'll help.
If you do go with my suggestions and go for IR, make sure the IR transmitter goes to at least 20 feet, and has an arc of at least 45 degrees.
That way it'll be able to transmit as long as they are pointed in the general direction.
However if you insist on using RF, the only thing I could think of would be somehow hooking up a piece of wiring to a coil, so a you slide the wire, the different bottle rockets will go off, but I'd definately go for the IR, because the Ingnitors need about 3 seconds before they go off, Unless you feel it'll work on 12V without causing too much damage, or just breaking the ignitor.