CA glue is Cyanoacrylyte glue, which is a type of instant glue. There are usually three different types of CA glue: thin, medium, and thick viscosity.
CA glue works best when fresh, and gradually loses its adhesive properties as it ages. It is best to either discard old CA after a few months or store it in refrigeration to preserve its adhesive properties.
CA accelerator will instantly harden CA glue, and is recommended when extremely strong structural repairs are required.
CA debonder is usually acetone with a jelling agent so it will cling to surfaces.
Some types of fingernail polish remover contain acetone, and sometimes a fluid works better because you can soak the entire part in acetone.
CA debonder usually does not work instantly, and requires at least a few minutes to weaken the CA sufficiently to allow the parts to be separated.
Two-part epoxies are often useful for making repairs.
There are many different types of expoxies, with many different curing times. As a general rule, the fastest setting epoxies are the weakest, and the slowest setting epoxies are the strongest. For example, J-B Weld requires 4-6 hours to set and is one of the strongest epoxies.
You should avoid creating bubbles in the epoxy when mixing the resin and the hardener, because the bubbles will weaken the epoxy significantly. A stirring motion to mix the epoxy is very bad because it tends to produce bubbles. A smoothing motion (similar to the motion used to level cement with a trowel) works much better.