As a husband-to-be, do I need to learn the rulings on menstruation (haid) and post-natal bleeding (nifas)?

Yes, because many rulings on marital relations, prayer and fasting in the home depend on them. A husband who understands will know when intimacy is permitted, what affection is still allowed, and how to support his wife when she is not praying or fasting during that time. This knowledge also makes you more sensitive to your wife's emotional changes and tiredness. Start with the chapter on menstruation in the pre-marriage course, then read trusted material or attend a fiqh class open to couples. Do not make this topic a joke; treat it as part of your responsibility. A wife will feel respected when her husband understands without needing to be told again and again. See fiqh of menstruation for couples.