Yes, I start earlier when it's stil cool to do most of the chores. My doe does not get milked, since I share the milk with her baby it is easy for me to skip a few days. I do not want to burden her body with producing the extra milk.
I also go out several times a day to provide cold water and also wet the area were the animals are resting in the shade. The evaporation helps them to cool down, some animals get shallow baths to swim or relax in but not all animals like it. I try to mist the turkeys with a simple spray bottle since they do not seem to be smart enough to cool themselfs down.
Don't feed anything like corn. There is a lot of heat that is being produced in the body as the animals digest it. So each animal gets a little less feed then normal and earlier then normal so they don't have to endure heat stress during the day. I put my foodscraps in the fridge so I can treat the pigs and chickens to nice cold cucumber peels. The next feeding will be in the evening when temperatures drop.
Wet cold tiles or towels can also be provided for rabbits and chickens. But I'm no expert in dealing with heat.
RE: The time when you really appreciate being a homesteader