@NurseHolliday It's possible to beat them, takes a load of effort though. I successfully exterminated moths that had survived one flat move with me. Another flat move and 2 years later they still haven't returned).
Wash all clothes, bedding, sofa throws etc. Twice - a few days apart. At 90degs.
Whatever you can't wash: freeze; dry clean; throw away. Do that again a few days later.
Clean and bleach wardrobes, drawers etc. Oh, and then do it again a few days later.
Fumigate (i just used some off the shelf spray can).
@NurseHolliday It's possible to beat them, takes a load of effort though. I successfully exterminated moths that had survived one flat move with me. Another flat move and 2 years later they still haven't returned).