Between the kids and everything else, my own faith has gone completely quiet. How do I keep both alive?

“And as he lay and slept under a juniper tree, behold, then an angel touched him, and said unto him, Arise and eat. And he looked, and, behold, there was a cake baken on the coals, and a cruse of water at his head. And he did eat and drink, and laid him down again.”

Elijah had just won the largest public victory of his career, and then he collapsed under a tree and asked to die. God's first response is not a rebuke and not a new assignment. It is an angel, food, and more sleep, twice over, before any conversation happens at all. The account is remarkably unspiritual about exhaustion, and it treats a body at the end of itself as the real problem it is.

“And Jesus answered and said unto her, Martha, Martha, thou art careful and troubled about many things: But one thing is needful: and Mary hath chosen that good part, which shall not be taken away from her.”

Martha's complaint is completely reasonable, because somebody does have to make the meal. Jesus' answer is gentle and it is not a rebuke of her work. He names what is actually happening to her, that she is anxious and pulled in many directions at once, and points to the one thing that will not be taken away. He says this to a woman mid-way through hosting, not to someone with a free afternoon.