Coming out in school is a very difficult thing to do. It's hard to predict how other people may react: you'll find that a lot of people are accepting, but some people may use this as an excuse to bully you. Are you in a good place to deal with that bullying if it happens?
If so, by all means tell people at school. Your parents aren't at your school 24/7; they can advise you but they can't actually control what you say to other people. Perhaps start by telling one or two close, trusted friends to test the water, before deciding whether to go fully public. You could easily just go back to school in boys' clothes with your new haircut and ask people to call you something different - even an androgynous nickname - and in actual fact it is nobody's business why you're dressed the way you're dressed. They'll try to
make it their business, but just as your parents can't control what you say, your schoolmates can't make you explain yourself to them either. It's up to you how much (or how little) you tell them.
Once your identity is settled in your mind it's only natural to want to shout it from the rooftops. But coming out
anywhere can be uncomfortable. There's that point where you have to explain to various people that you're not actually a girl, and you have to do it repeatedly for the various people who have always thought you were a girl. Those awkward conversations have to be had at
some stage, but eventually there comes a time when you're living fully as a male and nobody needs an explanation of your past. If you think that now is the right time for you to have those conversations, then do so.
Your State has laws banning discrimination based on sexual orientation and gender identity, so perhaps it might be a good idea to speak to the school counsellor (or a trusted teacher) so that you can get their full support. It's their job to stop other students from bullying you so make sure they've got your back. If you have your close friends and teachers on your side, it'll be more difficult for other students to pick on you. And it can be
wonderfully self-affirming to have them call you by the right name and pronouns. Especially if your family is loathe to do so.
Oh, and yes - pretty much everyone here felt the same way you do at some stage. Don't worry, it's perfectly normal and it gets better.

Transition is a long, slow process and it is very, very frustrating to be seemingly stuck in the intermediate stages. I think of The Journey as being something like a long-distance train trip: you bought a ticket from your start point to your destination and you want to get there as smoothly and as quickly as possible... but the darn thing keeps stopping at stations along the way to deal with other people (and their baggage) so it takes longer than you'd like it to. Sometimes the train even breaks down and you have to just sit on the tracks going nowhere for a while so an engineer can fix it. But it starts moving again and it
does eventually get you to where you need to be.
Good luck.
Full disclosure: when I tried to come out at school I was severely bullied for it, to the extent that I eventually needed to leave the country.