I would only accept an armed baby sitter if I knew for sure she had the proper training and experience plus maturity to be armed in my home without me being there.
I would not trust the average CHL holder to be either competent or mature enough in judgment to be my children's baby sitter.
Of course it is not a problem for me as I have no small children.
Ecclesiastes 12:13 *¶Let us hear the conclusion of the whole matter: Fear God, and keep his commandments: for this is the whole duty of man.
14 *For God shall bring every work into judgment, with every secret thing, whether it be good, or whether it be evil.