I and my MIL have never really been the best of friends but I feel that now that am trying to start a family, I should get her more involved in my life. How would you suggest I do this?

Invite her over for dinner, shopping or simply a coffee treat whenever you can. If you are not comfortable with meeting up with her alone, rope in your husband or even your own mom. If she is a great cook, ask her to teach you how to make your husband's favourite childhood meal or just open up to her gradually and be her friend. I usually find little acts of appreciation and kindness always help when dealing with parental figures. Don't overdo it though, just be yourself and show her that you respect and appreciate her maternal knowledge :)