I Started E Before I Did Laser Sessions about 6 months in HRT
I think it's nice to get laser over and done with as it takes time
and feels SOOOO amazing to have done, But I guess the same goes for estrogen

E definatley has an effect on the regrowth pattern so I would say that you get more bang for you're buck with E as an added factor
As far as looking like a "guy with boobs" don't worry so much about how people see you, love.
feeling awkward about our appearance is very common and with time and experience especially early on in transition
these troubles tend to lessen

Let loose of all Insecurities and be proud of everything you're doing
you have every right to be proud