A case from this week. The call: a bulb in a wall lamp burned out, and when the owner tried to unscrew it, the glass came off in the hand while the metal base stayed in the holder. A new bulb would not go in.
The most important thing in this situation is to switch off the power first and only then do anything. I carefully removed the base, checked the holder and contacts, fitted a new bulb — the lamp works again.
I only do small home electrics like this: lamps, sockets, switches. I do not work on fuse boxes or wiring — that needs an electrician.
The step-by-step story and what you can safely do yourself are in the article.