emergency moving fund

My name is Juniper, ive lived in texas my whole life, but im trying to change that

situation - Due to the cost of living in austin, I haven't really been able to afford to live here for awhile, and my current strongest prospect is to move to Pittsburgh where i have a potential few jobs lined up, affordable housing, and can get the hrt adjustments+mental healthcare ive been putting off through the central clinic, i had been saving for awhile while employed full time, and am closer to getting out than i've been in years, but im not there yet, losing my job in may set me back pretty hard, and that's compounded by time running out on my current living arrangement, where right now we do an uneven split based on room size and income, when my roommates each move out of state, i don't actually know if i can afford to live in austin at all, and it will at least set all my current progress to zero

plan - If i can just get to Pittsburgh, i can afford a short term lease on a 1 br, with almost any FT job becuase PA has a service worker's union, and the central clinic provided free trans care, and will sign me up for food stamps and medicare if i qualify, past that I don't have extensive plans, but i will be in a better place to consider my future

how much - the move itself will cost me at least 6k, not including the last two months rent at my current place

what for -

Uhual 2092.00/w car tow attach

rent 875

deposit 1935

utilities 100

food 150

bank transfer/admin fees ~250

total 6013