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You can try WD40, it is also a solvent which most people have at home. My first go to would be to try and loosen the glue with a knife. If that does not work, you may need a solvent from the hardware store.
They should be on with screws look inside the draws for screws if not you have to pry them off maybe with a putty knife get under the handle
What type of glue is it (wood glue, Gorilla glue, cyanoacrylate, etc,)?
Every glue has a solvent. If they are glued, the solvent will work. Goo Gone works on many.