I think it takes a certain amount of weeks for the neuture to be fully healed not sure when you got it done just saying also it doesnt matter either or as long as you slowly introduce them so be prepared to have more then one cage for awhile
I have another question as well, we are moving houses. I don't want to stress him out with the move. Have any of you moved with your bunnies? obviously i'm not going get a new bunny and try to introduce them while we are in the process of moving. I'm trying to find a sitter in the town we are moving to so he can be out of the house while its so hectic.
Wait a few months for his hormones to die off. Newly neutered bunnies can still impregnate a female (if she is not spayed)
I moved a couple of time with my bunny. Toss a blanket in the pen a few days before you need to move so his scent gets all over it. This blanket you will use in the carrier. Set up a temp set up in the new house in a quiet section of the house, this set up can be smaller than his normal pen (providing you don't use commercial jail cell cages). After a day or so you can begin the set up of a permanent pen/condo in a high traffic area of the house. Bunnies need to feel social and part of the family, I always reccommend the living room for bunnies.
Since you are moving, it would be easier to coincide with adopting a new bunny. Make sure it is a girl, boy-girl bonds work better usually. If you're moving soon, ask the shelter if you can do a trial date in the new home and only pick from ones who have been spayed for at least 6 months. If Binoo doesn't like her he won't bond with her, and vice-versa. The new home will act as a neutral territory so neither are defending a territory.
The shelter I was gonna adopt from does not spay/neuter the rabbits they have. So if I wanna adopt a bunny from the shelter that's over an hour away I have to wait until after the move. I find it a bit stupid that they don't fix their buns.
Money. I know first hand how hard it is for non-profit organizations to come up with that kind of money. If you helped out with fundraising and leafletting for them maybe they could start to raise money and spay-neuter them.