Moving out as a single mom!

I'm 25 and have an almost 16m old son.

I currently live with my mother who is 70 years old and toxic to my mental health and well being.

Because of being a single mom with no baby sitter / day care id like to afford (i have money saved up but not willing to spend it on an 11$ wage job) she babysits my son.

Our relationship has been toxic since forever and never has improved.

Though the rent is free because I am working and taking online classes, its not worth it to be criticized, belittled. Being fought with everyday because called names and this and that.

Around my area in VA its very very expensive.

Id love to find a house ( an apartment is out of the question, i need a house so my son can run around in the yard and for me to have outdoor peace) here Anyways rent for an apartment is just as expensive for rent on a house.

Obviously if I move out I'd maybe move in with my boyfriend, id either nanny to make money which is great money and or get another job and have a baby sitter in my house.

Question is I keep asking myself is this realistic.

I know money would be tight, but i cannot stay here any longer but its doable of i make 600$ + every week from nannying.

Aby advice appreciated