You have a few options.
Depending on how far away they live, you could rent a motorhome, and leave the dogs in there while you visit your parents.
You could find a pet friendly hotel for your visit.
You could find a sitter, or board your dogs.
You could stay home and invite you parents to visit you instead.
or
You could stay home until they change their minds.
As much as I love my dogs, 3 dogs and 2 weeks is a lot to deal with, if you're not used to having animals around.
We have 4 dogs, and we ended up buying a motorhome, so we don't have to worry about them when we go on vacation, they come with us, and have a safe place to stay. The only house I'll take all 4 dogs to, is my sisters farm, even then, 2 have to stay on leash or they'll chase the chickens.