Single life, Married life, Religious life (monks, nuns, etc), Sacerdotal (priests, etc)
As for the original question…
It’s not at all unusual for men who are in the process of conversion to feel the call to become priests. Many converts have gone on to become excellent priests - not least of which, the Blessed Cardinal John Henry Newman.
But you will need to wait a couple of years from your reception into the Church before you will be permitted to enter priestly training - this is just a normal precautionary pragmatic approach from the Church, which would want to be sure you weren’t simply caught up in the process of conversion and mistaking that euphoric experience for a deeper calling… After all, it wouldn’t do you or the Church any good if you launched headlong into expensive seminary training only to realise you’d taken the wrong decision a couple of years later.
Don’t get discouraged though - it would most likely take
at least a year between beginning one’s application process to actually starting at a seminary, so the two years isn’t really so long to wait - give it 6 months to a year to get used to your place in the Church, use the time to get to love the rhythm of the liturgy and experience all the Church has to offer, make yourself available in service to the Church as a lector or altar server or Extraordinary Minister of Holy Communion or visitor to the sick or any number of other ways to serve the people of God… The time will fly by!