Well, I'm no expert but I will offer what I do.
First off, don't feel bad about the gloves, I have 2 boxes within arms length and almost never remember to use them. When you are on a roll, your on a roll.
I use a sponge to apply my antique. Lightly dampen it with plain water. Dip the sponge in the goop and go (You really don't need to use a lot of it). I don't worry too much about it drying as I go, as my next step will remove the excess. Once you have completed going over it once, take another sponge with some water and soap (I use my casing solution as it is only water and dawn). Do not overly soak the sponge. Go over the project removing the excess. Now wipe it with a rag to remove any surface moisture. If it is not as dark as you want, go over it again using the same process.
This method takes a while especially if you are really trying to change the color. But with antiquing you are really not supposed to make drastic changes, that is what the preliminary dye work is for. You are just supposed to be adding some character.
Finally, stop trying to antique your dog. Spray paint works much better!