A great practical way to support a family with a new baby is to bring them home cooked meals in those early days. There are plenty of websites that are free and sort all the organisation for you. Our church currently uses Food Tidings.
Family Time offers a course specifically aimed at new parents and resources can be downloaded from the New Wine website.
Care for the Family offers a range of helpful resources and articles.
I’d also like to strongly recommend Soul Food for Mums. This mixture of testimony, Bible, thoughts and reflections was really helpful as I journeyed through the first year of being a mum.