I have the same issue Rudy. Two cats and a Black Lab and I have tons of problems.
I will usually blow off the build with airbrush air prior to triggering the paint. As far as the static problem. There was a product years ago called Zerostat. It was a gun that shot ions or some such thing, but it was supposed to negate the static. I used it sometimes on vinyl albums and seemed to work. I wonder if it would work for this.