Dripping taps here are usually a hard water story, and they are normally a quick, inexpensive fix.
Why yours started dripping
Mineral deposits build up on the cartridge and the seat inside the tap until it cannot close fully, even when you turn it off firmly. Turning the handle harder only wears it faster. Replacing the cartridge sorts it, and treating the water is what stops it happening again on the same schedule.
Builder-grade fittings past their warranty
Whole neighbourhoods here were fitted with entry-level taps, and in hard water they wear quickly. Replacing with a better cartridge-based fixture often costs less over five years than repeated repairs on the original.
Poor pressure at one tap
Nearly always the little screen in the end of the spout, and in hard water it is nearly always scale. Unscrew it, soak it in vinegar overnight, refit it. If pressure is low throughout the house, that is something else.
Check under your sinks
The flexible supply lines and drain fittings fail slowly and quietly. On slab construction the first sign is often a damaged cabinet base, so a quick look twice a year is worth doing.