Peafowl owners use
Ivermec - for cattle. there is the injectable and/or dosing down the throat. there is also the drench type.
Safeguard for goats - 3cc per gal of water. use for 3 days, the repeat 10 days later to get any worms that have hatched.
Chickens can be wormed too. Only thing is one wouldnt want to eat the eggs gathered for a time after worming.
I would feed them boiled back to the chickens.
This site has alot of meds that may be needed or could be kept in a med chest for your animals
http://www.hopkinslivestock.com/Peafowl Medications.htm
The above listed wormers will get rid of most worms. I think you can get something that goes in feed but these work best. I use the Safeguard, it is easier to put in their water than catching your birds.
The worming schedule for peas is generally before and after breeding season.
Also, peas are very social & you will want to get more than 1.
Same with pretty much any bird-they all depend on their own kind as a group. Many wild birds monogamous, but with backyard birds, they will breed with more than 1 of the opposite sex.
I dont know if a rabbit hutch would hold all that you plan to put in it, unless it is very large.
Most all of us on BYC, believe in Quality of Life, for our fowl.... Would you plan on letting them out daliy, or will they have a pen area outside to get excercise?