J.D.
Love my BumGenius! I started using at 2.5 months and now my lo is 21 months. But, I do use a variety of types. I made most of my covers out of fleece. There's a pattern (very easy) on diaperswappers.com under "fleece soaker". I also have a wool cover that I love! I would buy more wool covers if my budget allowed for it. Otherwise I had great luck with Imse Vimse Organic Cotton Diaper Cover when my lo was solely breastfeed. The double gusseted legs kept messes in wonderfully. I bought them off of jilliansdrawers.com. I now have swaddlebees abc wraps. I bought them off of their outlet store for $6 or so. They work great for her now, but I just started using them in nov. I don't know how they'd work for newborns.
Good luck!