Great that you get a African Grey! 2 months! jeez, that's long.
Grey parrots are natural very social parrots, so when they bite, it's because the human did something wrong of accidentally learned him to bite while pulling there hand away for the beak of the bird. Then he learns his beak is a wapon.
I don't think it's hard to tame a parent raised grey. I did it myself too and I tamed the parent raised grey from my sister and Koekie was a second change bird, who was afraid of other people and bites. But that is my opinion, it can be harder for other people and maybe I'm just lucky with my sweet birds
African greys have a higher stress level than other parrot species, but if you train them every day with a new object, that shouldn't be a problem.
I think greys are easy to train, fun to play with,I think they are great, loving, social,friendly, dusty, sometimes annoying,sweet, beautiful and intelligent birds and you won't regret getting one!
But keep on reading information about them, you can never stop learning.