American Baby is a magazine for new moms. It is a part of Parents, but specific to pregnancy and infants to one year old. This is absolutely free, no strings attached. It isn't very long, I usually read through it in one setting. One of my favorite features is an article written from a father's perspective every month. So click HERE to try out a free year's subscription.
Babytalk magazine is similar, but is a part of Parenting magazine (which is better quality in my opinion, recipes, children's crafts etc.) This is also completely free, you don't offer your credit card or anything, but they do ask for your due date, or child's age. So enjoy! Click HERE to subscribe.