The bald patches could be from over mating. Usually frazzles have much thinner feathers, as in the feather itself looks skinny. They also tend to feel very stiff instead of soft and fluffy and their little wings can be sharp as all get out when just the quills are left!
I'm so glad you saved them, it sounds like they needed it! Two 5 gallon buckets can serve as bath tubs in a pinch, especially since you've only got 3 to clean up. Wash in one and rinse in the other. I use them in the warmer months to bathe my birds, it cuts down on bathroom clean up time!
Good luck with your new fluffies, I bet they'll be looking spiffy before you know it!