Watch the movie "Under Our Skin" about
Lyme disease. You can find it to watch for free on a couple of places online. Just Google "Under Our Skin"
Check out this site:
www.lymespouse.org/ Originally created for the spouse of someone with Lyme, they decided to make it more for anyone who has a loved one with these diseases. I checked it out when they first appeared and thought that they had good info for those who aren't living with Lyme, but living with someone who has Lyme.
And time. With time, they will see changes as you heal, and you can tell them it's because you were/are in treatment for your tick-borne infections. It's amazing how many family members change their attitudes when the progress is staring at them as improvements in their loved one.
Best of luck!