In my case, being in another job after I was full time for a little while, worked out. But there is an advantage to being able to stay where you are as well.
My thought is if you transition and work in the same place where your coworkers have been there for a long time and no one ever leaves, then the chances of living with pronoun and name slip ups is probably something you will just have to learn to live with. On the oter hand, if there is a lot mmore turn over or the possiblity to post out and work in a different area, then it may help to keep a fresh work environment with no baggage.
When I did my transition, my work history went something like this:
worked at some company (actually had GID in the company diversity policy): actively transitioning, shinks, electro, etc
came out at work: terminated the next day
very next day I filed my name change in court: nothing to lose now
while job hunting used my time to continue pushing my transition (booked and did my ffs round 1), soldiered on with electro, etc: It all helped with my job hunt
a few months pass, landed a new job (substantial pay cut, but I was working): Kept at it, srs started looking doable
finished everything (srs, time off to recover, final legal changes, birth certificate, passport, etc): now I am done with ole Harry Benjamin.
moved on work wise one more time: now I started to earn close to where I ended as a male, and didn't need any excuses. no more electro, no more surgery, no nothing
Being in that "never having to explain yourself to your coworkers" is a great place to be, I'll just let you know. If I were never fired and I kept at my original job I'm sure that pronoun and name slip ups would bug me. But that's just me.
All of this made me appreciate and understand why some people want to just up and disappear and leave the whole trans thing behind until they figure themselves out.