As ma wee chickadees says, no problem,
We don't, but we know a number of farmers/small holders that let their chickens and pigeons cohabit, you might be able to restrain the chickens from mixing, but not the pigeons they will quite hapilly eat the hen food.
You have more chance of the pigeons picking up an infection as they free fly than you chickens that are contained. Defra made us cover our area or supply a covered area so to protect ours from wild birds/fowl dropings during the last scare. both our pigeons and hens have a covered area in case a scare happens again
Our loft is right next to the coop, we had salmonela at one time, it was traced dy defra to a host pigeon we bought from pigeon racing fancier, we informed him and he declined our advice, he lost all his stock. We followed all the advise and recomendations from defra and managed to get a clean bill of health, not one of our hens showed or contacted salmonela
Check your by-laws to see if you can keep hens, if their is any problems get two to start with and declare them as pets, then get some more after the word gets out
Do not get a cockeral, but if you do you keep him in a coop that does not allow him to stretch his neck till you let him out, this way you control his crowing,
Get rode island reds they lay for fun, where as marins are easy put off the lay are they are generally skitty
hope this helps