Hmmm - I think everyone is presuming you are already baptized.
If you are (and assuming it is one of the Protestant churches in which you were baptized), then you will not be baptized at Easter, but will make a Profession of Faith (fairly short).
And if you are, then you will be asked to go to Reconciliation prior to Holy Saturday Night.
At the mass, you will make your Profession of Faith, then be Confirmed, and then make your First communion.
If, for some reason, you are not able to show proof of baptism but are sure you were baptized, you may be given a conditional baptism. We confess one baptism; a conditional baptism is occasionally done when one has no proof of the prior baptism, and if this is your circumstance, then the best answers explaining it will be from your pastor.
And if you were never baptized, then you will not go to Reconciliation first; but be baptized at the Mass, then Confirmed, etc.
Welcome to the Church!
As to recognized baptisms, most Protestant church baptisms are recognized; a few that are not: Seventh Day Adventists, Jehovah’s Witness, LDS. There are a few others.