Get yourself an epilator. It works like a kind of electric tweezer; the head rotates rapidly and tugs the hairs out as it goes. It can be a little uncomfortable until you get used to it but, over time, becomes more effective than shaving or hair removal creams because regrowth slows down.
Mine is on my list of things to be rescued in the event of an emergency (fire or flood, etc), along with identity documents, contact lenses and the cat because, without it, I'd very soon have a better ginger beard than Prince Harry!