I was diagnosed with genital warts a couple of years ago, is it safe to share bedding as long as it is washed between users?

No risk, no worry: HPV infections are not transmitted through clothing, bedding, etc. If your warts have been gone for two years, probably you no longer have active, transmissible HPV. But even if you do, you are no risk to others unless you have sex with them. Household members of people with genital HPV never catch it, even after years of shaing toilets, kitchens, towels, showers, beds, etc.