yeah you don't want to use acetone. Acetone dissolves CA. For a home-made accelerator try a tablespoon of baking soda in about 8 ounces of water. Spray it out of a fine mist sprayer, a pump sprayer, whatever you have that will mist it on as fine as possible. As always, try it on something a bit less important first, but this mixture is what I used to use when building model airplanes using CA before the "kickers" were readily available.
Accelerators work by enhancing the alkaline conditions during polymerization. (Which is why Alka-Seltzer works..but it has other stuff in it that can cloud the CA) You can actually put accelerator on one side of a joint and CA on the other and then put them together. That works well sometimes on materials that are difficult to bond.