Electricity is like cats. The electrons will go wherever the food is, or to make this analogy work – wherever power is being used.
No special plugs are required, if power is being used on your mains electric board, then that’s were your solar panel electrons will travel. If surplus is generated, then the electrons will travel out through your export meter.
All done automatically whether its a kettle boiling, EV charger or air conditioning unit in your case.