How can I get rid of these thousand-legged nightmares?

These bugs appear in the house every spring and disappear for the winter. Sorry, no picture, just imagine your typical one- or two-inch long thousand legger. They are really disgusting and I’d like to be permanently rid of them.

Are they house centipedes?

That looks like them all right.

If they’re inside, that means you have a population outside. Step one is to remove compost heaps and other habitat from near your house. Inside, they thrive in dark, damp areas. Give everything a good cleaning and kill all the individual centipedes you see. Consider a dehumidifier to make the infested areas less hospitable.
Other than being ugly and frightening, they aren’t dangerous nor do they cause property damage.