Take your time, pray, get spiritual direction, don’t rush into anything (a monastery wouldn’t let you!), and don’t let one vocation drown out the other. Be calm, and if conventional wisdom is to be believed, you will eventually have your answer. And did I say pray? 
And do ask yourself whether this woman is going to help you get to heaven more easily, or not. Be aware, as someone else alluded to upthread, that if any future spouse sees contraception and/or sterilization as a non-negotiable, that’s not a good sign. Life, and saving one’s soul, is hard enough as it is, without making life decisions that will render the task even harder.
And I know we laid the Eastern Rite question to rest, but if I were an Eastern Rite bishop, and a Latin Rite single Catholic man approached me about changing rites, the very first question that would come to mind, would be “are you just trying to find a way to be a married priest?”. I don’t know if they ask that, but I would. (Is there a universal permission among Eastern Rites in this country that married men may become priests? There didn’t used to be.)
And do ask yourself whether this woman is going to help you get to heaven more easily, or not. Be aware, as someone else alluded to upthread, that if any future spouse sees contraception and/or sterilization as a non-negotiable, that’s not a good sign. Life, and saving one’s soul, is hard enough as it is, without making life decisions that will render the task even harder.
And I know we laid the Eastern Rite question to rest, but if I were an Eastern Rite bishop, and a Latin Rite single Catholic man approached me about changing rites, the very first question that would come to mind, would be “are you just trying to find a way to be a married priest?”. I don’t know if they ask that, but I would. (Is there a universal permission among Eastern Rites in this country that married men may become priests? There didn’t used to be.)