Easy does it...and like others said look for when it is cheaper, and health benifits should save money...I know my kids are sick less than the average junk food family and I firmly believe that is due to both the healthy eating and the healthy others (handwashing, bedtimes, and fingers don't go in the mouth!)
One thing that will make it easy is if you are going from proccessed (instant rice) to whole (brown) then it is cheaper, but no plain white is not cheaper than brown
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Anyway, I started with brown rice, then as my budget adjusted I moved on to brown egg noodles..still havn't found any other brand of brown noodles I can afford/eat.
Oh and before you go for organic fruit and veggies, just plain get them in the diet! frozen is my favorite way..I an nuke a veggie in 4 minutes, no muss no fuss, convenience of convenience food but actually often heaper than fresh!
Currently I am looking into local freerange chickens and beef...so far the cost is astranomical! I am not sure we will be able to afford it, but seeing as how I have no meat in my house, I think a once a week treat might work. but not gonna ever get back up to nightly meat...heh..I am sure if some third world ountry had access to the net and read my complain they would be making fun of me wanting nightly meat..ah well. Can't help my tasts run carnivore!