Non-Hormonal Birth Control

I'm currently pregnant and trying to decide on a form of birth control for post baby. Both times that I've been off of hormonal birth control in the past 10 years, I've gotten pregnant within 8 months (we used the pull out method as our birth control during those times)... I'd prefer non hormonal as I've had horrible reactions in the past which is why I stopped and don't want to do that again. We don't like condoms. What worked for you? What did you like about it? Also if you used the rhythm method or natural family planning, did you use it while nursing and how did it work if you didn't have a regular cycle? Also we will probably plan on having another child within a couple years. Any recommendations are appreciated.