I would actually recommend an entirely different setup for the wrist rocket thing...
Allow me to go all history lesson on yo' ass for a minute. The predecessor to the musket and modern firearm is thought to be the 15th-century French hand-gonne. The hand-gonne was simple a thick piece of wood hollowed out nearly to the end, with a solid section for the handle. There was a small hole just above the handle that went into the barrel. Black powder would be poured down the open end, followed by a small metal ball for the projectile. As a trigger, a match would be inserted into the small hole at the handle end. The problem with these is that, firstly, misfires were extremely common. Also, with the weapon being made out of wood, if you made it too thin, or just generally did it wrong, you're hosed.
I suggest making a hand-gonne out of some
thick PVC. For bottle rockets, you could make your own nozzle for it. There are two ways you could make the firing mechanism for this design: The slow-loading way, which requires more effort in the long run but is one hell of a lot safer, and the fast-loading way, quick and a little dangerous.
First, the slow way. You'll need to have some string, some tape, and some butane (or gasoline, or napalm for that matter, I just say butane because it doesn't burn as much). Start by dipping the string in your flammable shit. Get your bottle rockets and tape this now-volatile string to its normal fuse. You now have a bottle rocket with an extended fuse. To load it, put it into the open end of your hand-gonne and thread the extended fuse through the match hole. Now, just aim at your target and light the fuse.
Now, the fast way. You'll need tape, string, and a few extra cigarette lighters for this. Light one of your lighters and tape down the button, and tape a piece of string to the bottom end of it (you may want to wrap it around the lighter and tie it to be sure it doesn't come off). Now, tape the lighter to the barrel end at a slight angle so the flame is just above where the fuse would be when you load the rocket. Load your bottle rocket, and when you pull the string, the lighter should move down (like a lever and the place that the lighter is taped onto the launch tube is the fulcrum) and light the fuse. Of course, using this method, if you happen to load the rocket wrong and light the fuse while you're putting it in, it'll go off in your hand. The lighter that won't be going out poses the biggest problem.
With that, please note that I haven't actually done this, or seen this method used before. Take the necessary safety precautions when you do this, and it's not my fault if it goes wrong. Anyway, good luck on that!
None.