Water dripping from shower head not sure wether I need plumber

Plumber, even if its an electric shower and is down to the electric valve then a decent plumber will be able to sort.

Shower heads drip for a short time after use and then stop, if it continues, a replacement valve is recommended. Some showers have repair seal kits where the sealing rubbers can be changed. I would get make and model and check with manufacturer what is available . If its a common make there should be no problem getting parts and a handyman or plumber could fit.