I would recommend against taking all three at the same time by yourself. For starters, buy them all dog life jackets just in case. You can also buy a dog ladder, like duck hunters use, in case one of them decides to take a swim. It will be much easier than leaning over the side of a boat attempting to hoist 75-100lbs of wet dog back in with you.
I would spend a good bit of time with them w/o fishing, see how they respond to commands while on the water, and then use your own judgement as to which dogs, if any, will behave well enough for you to fish.
Welcome aboard.
Wayne