Remove everything from your counter tops and cover them, along with the floor, appliances and sink, with plastic sheeting. This will catch the dust and particles as you remove the soffits from the kitchen.
Put on safety glasses, a dust mask and leather gloves. Set a stool or ladder under the kitchen soffit.
Climb onto the stool or ladder with a chisel and hammer. Hold the chisel at a 90-degree angle and strike it firmly with the hammer, breaking a hole into the soffit. Break two to three more holes horizontally across the soffit.
Shine a flashlight into each hole, looking for electrical wiring and/or plumbing. Note the location of the wires or pipes, if applicable.
Insert the blade of a reciprocating saw into one of the holes in the soffit and begin to saw away the plaster or drywall, along with the wood framing inside the soffit. Take down the soffit a section at a time, sawing through the drywall or plaster and wood framing. Pull the cut sections down as you go.