DO NOT hold or cuddle or play with these terrible little professional grabber of heart strings.
You can process them usually from 3 months on depending on what size you want to cook. Do not keep any with the intention of breeding them. These are broad breasted white turkeys. They are produced through artificial insemination commercially. While they can breed naturally if they are young enough, the odds of success are very poor. There is no reason to try to breed your own broad breasted turkeys especially the white ones. They will break your heart when they die at an early age or worse yet, force you to put them down. They are readily available at a much cheaper cost than you can produce them.
If I was still raising BB turkeys, I would be getting them from Valley of the Moon Turkeys who incidentally will sell their poults sexed.
Do not get attached to them. You will regret it when it comes time to process them.
Do give them a good quality high protein turkey or gamebird starter for at least the first two weeks although the recommendation is for the first 6 to 8 weeks.