[Ron Ramirez]

I think what Mike is trying to say is that the problem clearly is not with your radio - it is with a light in your kitchen.

Does the light fixture have CFL bulbs? If so...there's your answer. Replacement will cure the trouble.

Does the light fixture have LED bulbs? If so...they must be the cheapest of the cheap and need to be replaced. My house is nearly completely converted to LEDs and I do not have such troubles.

Another thought: Check that kitchen light fixture, or have it checked by a competent electrician. If it has incandescent bulbs or good LEDs, then there may be a problem with the fixture itself, the wiring at the fixture and/or the switch and/or wiring connected to it. Don't put this off - you may have a serious electrical problem that could result in a house fire.

I can see how a space heater could generate hash that interferes with AM reception. The answer is obvious - turn the space heater off while listening.

(do you know how hard it is to type with a cat between you and the keyboard?)