The first place to check is at the bulb itself.
Turn off the power. Then unscrew the bulb and clean the connection point. Do this for the bulb and screw in point. Dusting it or even blowing into it should do the trick. After you clean it, screw it back in. Make sure it’s in there tight enough and turn the power back on.
If that doesn’t work you’ll want to check for a loose connection. This means looking through the wiring (or hiring a professional).
If neither of those solves the problem, you may want to try this solution.
Move the appliances that use more volts to its own circuits. This should reduce the electric stress and flickering. This option isn’t cheap. It may be exactly what you need, plus it can prevent any future damage. Don’t want a bulb blowing out or anything.
Now for the last solution.
For incompatible dimmer switches, you have 2 options. One is to use older LEDs or not use LEDs. The other is to upgrade your dimmer switch.
If none of these work you will need an electrician.