What are some tips for eco-friendly parenting?

Numerous. Read dr. Greene's book: raising baby green, use cloth or compostable diapers, breastfeed, wear your baby, use organic products, minimize buying stuff in general, buy secondhand, join supportive parenting groups like holisticmoms.Org.
Be informed! Most importantly, become an expert on everything you consume. Many ingredients do not need to be listed if they are less than a certain % of the product. Make an inventory of your home and what your baby is exposed to. If you can not pronounce the ingredients, put it back. Support local growers or grow your own. Look for the "certified organic" seal. Avoid pba´s, wipes, and bleached diapers.