Honest Company Diapers

My husband and I want to do Honest Co diapers, specifically with their bundle & save plan. Since it takes a few days for shipping and all, if you used the same plan... When did you order your first bundle? I want to make sure they're here in time. Especially if my son comes early or anything. Maybe order a month ahead of time?
I'm adamant about using their diapers because I was allergic to everything as a baby, and my husband also has very sensitive skin.