The marriage thing is usually if you separate a wife has more rights to stay in the "marital home" than if you are partners even if you are both on the mortgage and the deeds. That is only from my limited experience of MN legal board though. The courts view marriage differently than co-habiting.
I have been a SAHM for 11 years, my children are 12 and 9. I love it. But I did work part time and juggle childcare after my first child was born. So I have something to compare it to.
The main thing would be to work out whether you can survive on one wage and worst case scenarios ie you have a dry spell tutoring. You also need to hash out money and access to money and what you believe the responsibilities of each person is.
For me I do everything, bins out, mow the lawn, all shopping food and clothing wise for the children and sometimes Dh. Laundry, ironing, cleaning. I am responsible for making sure cards are sent for birthdays etc, all admin for the house falls to me except car insurance. I don't know why
and dentist appointment booking because it has to fit into his work day.
I have full access to all money, I am not accountable on a day to day basis on what I spend money on. Dh does not micromanage money. Each year we sit down and look at everything we have spent, what we could cut back on, what we are happy with etc
We have been together nearly 20 years, married for 16+. It comes down to trust, respect and expectations. I know he won't do something stupid with money and he knows I won't be buying a £500 pair of shoes.
Good luck!