Do not try to hatch or hand rear pigeon eggs. They will die. They need 'crop milk' from their parents to thrive. Without this they usually die before they leave the nest.. and if they do survive they are small and weak.. and are prone to diseases because they don't get the immunity from the parents pigeon milk.
I suggest you buy young birds that have left the nest and are eating seeds on their own. Then they no longer need their parents. They are naturally calm and easy to tame at this age.
PLEASE DO NOT GET ONE PIGOEN. They are highly social and pair bond very strongly. A lone bird will develop behavioural problems if it bonds to you as a pigeon mate, rather than its human keeper. I have seen hand raised pigeons getting super aggressive with their owners and other people.. as they have no fear of humans.. they will think nothing of flying at someones face and scratching them with their claws, biting at your hands and face with their beaks, and constantly attempting to mate with you head, arm or hand out of frustration, Also if the pigeon bonds to you as its mate it will be very stressed out whenever you leave it alone.. like when you have to go to work, shopping, or our with friends.
Parent raised birds will see you as a human, not a potential mate. 2 will get super tame and friendly once they see you as a food supplier!
Get 2 the same sex.. then you won't have to worry about overpopulation. 2 males are the best as they will not keep laying eggs.
No pigeon will simply foster a strange squab. Males will attack it and likely try to mate with it, and females will peck it and injure it. They have to be in the right stage of nesting to be ready to foster a squab. They have to be producing pigeon milk and be broody. So getting one to use as a foster bird is not a good idea.