If you're full time anyway, and you're not on the care pathway with HRT, and the like, then a boob job is a decent way to go.
Transgender is a bit of an umbrella term. You can be a CD and transgender at the same time. Transgender simply means 'outside the social constriction of gender binary' - i.e., anybody who does not correspond with their birth assigned gender in terms of core identity, presentation or genitalia. (Sexual orientation is a completely different thing).
Only you know whether you're a trans woman, or a man who prefers to present female.
If you're happy with the idea, your partner is happy with the idea and you can afford it: why not?
Be aware that should you ever wish to start HRT...you'd be taking them out again.