Discernment is a long process. The first thing you need to do is recognize this. I began seriously discerning the priesthood myself three years ago (a few months after I reverted), but I was conflicted between this vocation and the secular job I was studying for. It was only a year ago (so, two years into my discernment) that I was able to let go of my desire for the career I’d been studying for, but now I still have to decide- am I called to priesthood, or the diaconate? Diocesan, or religious life? Reaching the conclusion of this will be a long process on its own, so you’ll need to prepare for it.
I would suggest bringing your thoughts to your parish priest after your confirmation and let him know that you’ve been feeling this for awhile. He’ll probably put you in contact with the vocation director at the seminary, who will be your point of contact throughout your discernment.
As for growing in holiness, the only way to do so is through prayer. Try to establish a regular schedule for organized prayer (rosary, liturgy of the hours, et. al.) and allow spontaneous prayer to occur throughout your day (thanksgiving for good things that have happened, asking God to help those you meet who need it, etc.). You should also take some time for reading Scripture each day, but how long you spend doing this is up to you.