I'm living with my parents, and people who are in similar situations would usually try NOT to come into any argument because they'll either think it's a way for us to "reciprocate" the kindness of our parents for letting us stay with them - but to me, these are two separate things.
My LO doesn't stick to my parents more, but that could be because I'm a work-from-home mum so we do spend a lot of time together too. When he wants to eat, he goes to grandma. When he wants to do things Mummy and grandma doesn't allow, he will go to grandpa. When he wants to snuggle/sayang/play/explore new things/everything else, he'll come to me.
What I'm trying to say is, don't let your parents or in-laws have higher authority over you - why? Because YOU are the parent, not them. Their time is already done, it's your turn to step up and parent your child. If they're doing something you're not agreeable with, do something about it.
I'm not saying you shouldn't be appreciative or to rebel against them, show the respect you need - but request the same as your child's parent. Don't do things behind your back, especially if it's things you don't agree with - you're only telling your child that Mummy and Daddy doesn't matter and grandma/grandpa is the boss at home.
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