I have doggies. The little one will always try to sit on my knitting if I'm doing it on the couch. I have to tuck it in a bag!
If I'm giving something to someone I wash it first. I don't sell anything so I don't worry about if a stray dog hair makes its way in. People who sell say "pet free home" But I love my pets too much to have a "pet free home" :)
I use lint brushes, the ones with the rubber a lot and always keep the lint roller (sticky tape) close at hand. I also keep some of their toys around when I am stitching so I can give them something to play with. Then they are still staying close to me but are doing their own thing and not 'furring-up' my stuff ;P It does help.
I choose a project of a different color than my animal.
I keep my work in a cotton bag.
I dress light-colored cotton clothes (or a large men's t-shirt) when I stitching, in which I never play with my pet.
Don’t have a pet any longer. But when we did, he was not a shedding dog. He was a haired dog, who had to be groomed, or his hair would grow to the floor. I guess I would try to keep my pet away from my work?