workin' at the goat wash...
That looks like a bunch of fun.
Something you might want to think about as you get more and more stock that will all need this sort of treatment at some stage, is what we call a 'sheep dip'.
It's a small narrow trench that you fill with water and whatever insecticide you need to and then you walk the animals through it. It's deep enough that they have to swim, so they get a good penetration and treatment.
You can also give them a good rubbing with a broom while they are swimming to the far end. It's not overly stressful for the animals and you could even do the larger animals like cattle no problem. (no chance of them kicking out and hitting a little pepper)
If you placed it somewhere near your boundary you could lend/ rent it out to you neighbors to do their stock as well.