I think they are using dryer sheets to end the static during the day, by rubbing them to discharge the static? For that it would be better to use the reuseable fabric dryer sheets, rather than the disposable ones. They are unscented and chemical free, the fabric is designed to combat static and will last you a loooooooooong time.
I have the same problem. I can’t touch anyone or anything, especially during winter, without sparks flying. I touch my blanket and there is a blue shock. Bumping against the wall in the morning, or touching my boyfriend on the back as I walk by causes a shock. A humidifier helps in the home. Also, for ending the charge before bunny petting, you can keep a piece of unpainted metal around to discharge it (won’t even shock you). I use things like my computer case side (NOT the computer itself, you don’t want to fry the motherboard or anything, but I often have the case side off and just sitting around anyway) or something like that. If while you’re petting the bunny, you feel that familiar buzz of static charging, you can just reach over and discharge it safely on a piece of unpainted metal and go back to petting. They also sell static wristbands for computer building, you can get them on newegg and they keep you from building up enough of a charge to shock anything, but they do require grounding to something in the room.
As for him getting shocked, he’ll forgive you. I did it once to Stickers nose on accident and she took a few days to get over it.