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?

Rope your husband in! I love my MIL! Create simple daily conversations, do stuffs together, share your thoughts with her (always hold an open mind to her comments) and show care and concern to her. Action speaks louder than words mama :) Simple methods of showering concern will include stuffs like ensuring she takes her meals regularly, accompany her watch tv or variety shows, chit chat with her, have strolls or short walks with her, organise family meals or gatherings etc. Boost engagement and involvement between yourself and her and things will work out just fine :)