Ray, I’m not going to recommend any brands, bit the rule of thumb is to use an accelerator of the same brand. The accelerator is jut that, it instantly sets up the CA glue. If you are looking for a two part adhesive, you want an epoxy. Not the same thing.
When glueing with CA, apply the glue, assemble your work, then spray the accelerator. It should set up instantly.
As far as keeping the glue from setting up in the bottle, I buy the smallest bottle available. One trick that has worked is to tap the bottom of the bottle on the bench to force the glue back into the bottle. Also, never touch the tip onto the workpiece. Wipe off any glue on the spout. But most importantly, keep the CA bottle away from the area while spraying the accelerator so it does not get near the bottle tip.