you should do what feels right for you.
in my caise I vote for keeping my job,
it because we are in a time where it hard to find jobs, specially for transgender people,
and I will need the money by that time (not looking for job now but will later after finishing my school).
so unless I really hated my job I would chance.
I think if I been there for a long time and wanting something new i would keep my job while looking around trying to get some sort of connection without letting complitely go, and if I got good response ex like being offered a job the place I wanted to I could quit.