Help Me Legally Change My Name

I am a 21 year old transgender person who has been out for around 2 years. I’m really tired of having to use my birth name/deadname on legal forms and in work places; it puts me in danger of being outed to my peers without my consent, and makes it so I am deadnamed by any official establishment where I have to fill out paperwork. In the state of Utah, there’s a lot of hoops you have to jump through to legally change your name. One of those hoops is that it’s $600. I added the extra hundred for any other fees or taxes that may come about in the process, but honestly even meeting half of my goal would help me out a lot.