I use a pediatrician to keep records on my children...god forbid anything happens where I'd need traditional western care. They get some vax and I tend to ignore any suggestions for things I take care of at home.
My sons (2 1/2 years and 7 months) see a chiropractor regularly for health.
I have done lots of research and surrounded myself with people who are knowledgeable about alternative treatments and keep an arsenal of herbal stuff in my medicine cabinet for everything...colds, flus, allergies, vitamins, tummy, fevers, ear aches, etc. There is a TON out there that you can do behind the scenes without paying for a natural doctor.
Get your kiddos on a good vitamin regimen (the younger one not yet obviously). My 2 year old takes a good multivitamin, fish oil supplements, and an immune boosting tonic (astragalus, etc) that are all designed for kids and from reliable companies. I switch him to echinacea periodically.
Yesterday he just got through a nasty stomach bug, so today we will try and get some probiotics in him as much as possible.
I would also like to pursue a natural doctor....wish there was one that did both near me! My dogs vet does both wester and non-western treatments, wish she was my pediatrician!
You can message me if you want a list of the stuff I use...I use my midwife as a sounding board and found a great natural families local group who have so much info that I NEVER call my doc! I just go in for well baby visits and for a few vax and tell them everything is fine! :)