How do you get a baby to let another person take care pf them?

Harley

My little one is 3 months old before I moved I worked but since I've moved I've been with him every day cause I won't put him in day care and my husband agrees with me so my husband works well my little one will let his dad bath him but nothing else and if I leave to go do anything he cries even if it is my mother in law or my husband and I dont know how to get him to quit doing that is there any advice or any method that would work?