If you take all those religious texts/wisdom not literal, but as allegories or metaphors, then a lot of pressure goes of. For both yourself and children.

Interpretation makes for the weight.

So I think you can teach them bible stuff, if you add a much wider interpretation than the traditional church or your father does. You could make it an opportunity to teach them your own gathered wisdom, and find an allegory in the bible that matches. And find an allegory in another religion that says the same in other package, but means the same between the lines, and show it's all actually coming down to the same.

This could make the children see though religious texts of any kind, and help them to build bridges, the opposite of fundamentalism or literal texts fanaticism.

It's still not the same as going to church though, but not being anti religious neither.