I’d probably hold off a bit, until you’ve discerned a bit more of your path. You already have the most important groundwork-- a bachelor’s. Then you’ll be doing your theology/philosophy, and your MDiv.
From an educator’s perspective-- if you end up teaching in a private school, you might not even need the teaching certs. Private schools are going to be more interested in your degree (the Bachelor’s, the MDiv, etc), especially if it’s in a related field to your subject matter; they’re going to be interested in whether you’ve done any academic publishing in your field (especially with more advanced students); in your experience and knowledge of your field; in your natural teaching/communication ability.
In my state-- Texas-- you don’t necessarily need a separate education degree if you already hold other degrees and wish to be a teacher. There are tests and certifications that will qualify you to teach in a public school classroom. I never pursued those myself, because I was always busy doing something else, and couldn’t push pause on it long enough to get the hours of unpaid classroom experience (because no one’s guaranteed a paid internship). Some places will allow you to start teaching, with the understanding that you’ll get your valid Texas teaching certificate within x amount of time, or else you’ll be out of a job. And others don’t require it at all.
But Texas certs would be useless in Alaska. They have their own requirements and programs and certifications. And Alaskan certifications would be useless in Massachusetts, which has its own licensing program.
So I’d suggest focusing on discerning the priestly vocation first— and then do what you need to do as the rest of your path reveals itself, including the geography where you’re most likely to end up and the requirements of the specific organizations/institutions you end up being aligned with.
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