There’s been a helpful series of posts over at the Desiring God blog, all focusing on the particular temptations that new moms (that’s mum’s with an American accent I guess), are likely to be subjected to.
Lots of what is said there is applicable to both new mums and dads, and there’s things to chew over for parents however old their children are. find the first post here, and then find subsequent posts at the bottom of the article.