I hate that my chest and armpits are hairy and I feel a bit ashamed shaving them.
I'm sorry to hear that. Is there a reason why you are ashamed of your chest and armpit hair?
It makes the women of my family completely insane
Body hair is something that everyone has and you should not feel ashamed of having hair on your chest and armpits. You should try to work on better accepting your own body. If that isn't possible, there are aesthetic treatments such as laser hair removal that can be done to remove body hair, though they can be expensive to undergo.
It's fine, I won't let other people get to me.
It's okay to feel insecure sometimes but I'm glad you're not letting the negativity get to you.