I am a new dad, and I want to know ways that I can support my nursing wife. Any advice for me?

You can be her pillar when people around asking her about bf. Sometimes relatives can be blunt and talk about fm better, baby not eat enough with bm etc etc. Stand up for your wife (coz we usually ignore them because too tired nursing the baby). Having a knight in armour to defend her surely will make your wife more than happy to continue breastfeeding.