H.D.
I raise my family on an all organic/natural diet. Things that I have found to cut cost are:
1: Print off the coupons at Whole Foods (.com) and then the favorite brands you find you like (such as the coconut milk etc..) go to that brands specific website and get on their email list so you can get more coupons to stack on top of Whole Foods.
2: If you have a local farmers market, get to know the farmers that stock your farmers market. They will usually give you a screaming deal on such things as meat (like if you bought a 6 month supply up front but you need a deep freezer to keep it all).
3: For organic produce there are several things you can do. Start your own organic garden, grow you own herbs in a windowsill, and sign up for Bountiful Baskets in your area. Go to Bountifulbaskets.com to look up if a location is near you. You can order organic produce through them and deliveries are every other week. And again, make friends with local farmers at your farmer markets to see if they'll give you a deal if you come pick the produce up from them.
4: You mentioned juice specifically, it can be a bit of a hassle but I got to the point where I either make green smoothies or if I do make juice, I turn them all into popsicles so it lasts longer.
5: "like" FB pages of your favorite brands, markets etc... cause they'll post specials sometimes to FB readers only.
6: Sign up for Groupon, LivingSocial etc.. for daily deals. I've got lucky and found Whole Foods on there before.
7: Get a seperate email account for all the brand products you like so you can contain all your grocery emails to one account vs. getting bogged down on your regular email. I made that mistake in the beginning and found some brands LOVE to send multiple emails daily and it gets annoying.
I hope these tips help, if you want more advice, let me know:)