LPC, LMFT, LCSW all have to do two years of supervised practice before they get the license (is my understanding).

For a PhD, those two years are generally done before the degree (PhD) is granted. For the others, the two years are generally done after the (master's) degree is granted. The supervision received by master's practitioners is overseen by the state licensing board, rather than the school granting the degree.

A PsyD is also an option, they have the same training as a PhD except they aren't trained as much in research.

All are equally good/bad/indifferent as far as I'm concerned, for personal therapy. I weigh years of experience and where they got their degree more heavily than what type of degree it is. (No online programs!) There will be good and bad LPC therapists just as much as good and bad PhDs.

Also know that just because someone got a degree from a Christian university doesn't mean they necessarily practice that religion themselves. Some of the best schools in Texas are religiously affiliated. I wouldn't rule them out just because of that, especially if you're in a small area and have limited options.

ETA: This understanding is based on the U.S. context.