Stay in homes around the world in exchange for house/pet sitting, or get house/pet sitters in exchange for lodging--you pay an annual fee to access the listings and then travel as much as you want through the year.
I used to pay hundreds of dollars every time I had to travel on cat sitters who would come 40 minutes a day, now I pay that once a year and get cat sitters & places to stay when I travel. My partner and I are going to SF next month for a week and we're paying $0 on hotels/airbnbs bc we'll be cat sitting, and we'll have a cat sitter from THS here while we're gone. It's the best.