It usually takes the body a little time to adjust when you change your habits.
So if you went from 2 showers a day to one shower every other day, then it might take a while to get settled into a routine. Perhaps you should shower once a day for a week or two before moving to every other day, to help ease the adjustment.
I only shower once every 2 days, myself.
What kind of showering are we talking about here? Washing the hair, the works? A quick rinse-off?
You do moisturize the skin while you are actually IN the bath, the problem is that when you get out, then the skin can become drier than before (it all gets sucked out into the air). As soon as you get out of the shower, you need to "lock in" the moisture by putting on a moisturizer. You can use a simple oil like olive oil. Also, washing with just water instead of soap on your body can help (if you do need soap, then use a gentle and natural one).
This is all because there are really two kinds of moisture - water and oil. So the water is coming out of your skin. But if you didn't bathe then it would end up with a good bit of your natural body oils after several days, and this would reduce the water loss. The oil doesn't really wick off into the air! And an adequate amount of water and fat in the diet is important, to maintain these levels from within.
Do you dry skin brush? You can do this everyday, it helps exfoliate among other things.
Anyway, it sounds like you've gotten some good suggestions. How about brushing your face gently to exfoliate, rinsing it in water, spraying on the apple cider vinegar water, and then rubbing on just a bit of olive or sesame oil? That should last you throughout the day, and you can do that every day.
You'll figure it out!