What are some good pointers to keep these two plants, growing,
thriving, and healthy?

Moderate light (high light works too, but they are particularly
susceptible
to algae infestation). Water changes. Don't dip them in paint thinner.
Don't put them in the oven.

There's a reason Anubius is called the plastic plant that grows

I assume you take them out of the pots?

Yes. Plant them either in the gravel with the roots under and the rhizome
(the long thick horizontal trunk) above the gravel level. Or you can place
them in a niche between rocks or a gap in a piece of wood- either works.

What about splitting them?? possible, not recommended?

You can do so, just make sure to use a very sharp knife. Cut straight down
between two nodes (IE where the leaves and roots pop out) firmly. Plant
both halves, and they should recover. If you get rhizome rot after this,
cut off the rotting part (it will be brown and squishy) as the rot can and
will spread and eat the whole thing.

I guess I'll also go look up the basics, but am curious to success
stories from experienced growers.... I've never had them, but my
Crypts, are growing again like weeds... I love that Flourite!!!!

If your Crypts are doing OK it's a good bet your anubias will as well.

~Empty

I was told Crypt wenditti was hard... so I got 2... 1 thrived, 1 was eaten
by my pl*co... the one that lived, grew dormant... I was about to do a
gravel cleaning and found 12 little rhyzomes around the base, 5-9" out, so I
just jumped up and down.... It Lives!!!! so I went and got about 7 more
different plants, 2 anubias, anachris, some more crypts, and other un-ID'd
plants....