I would probably interview pediatricians without making a big deal about the homebirth. When you have your interview, focus on the care issues that you are concerned about. Your midwife will do a newborn assessment and then the doctor will want to see you within two days. IMHO it doesn't really matter if the practice "supports homebirth" unless you get there and they are looking for flaws or something. The baby is there and healthy and who cares who and where it was born.
Our very ped is very science and APA based and I am probably the most "natural minded" person in her practice. But I like her because she is a very good doctor and doesn't try and give me parenting advice. We do annual checkups and do vaccinate and that is it. Kids are rarely sick, weight gain with breastfeeding has never been an issue, etc.
Also, we bedshare and do extended breastfeeding and potty train by 2 and do cloth diapering and are tv-free and no junk food and none are particularly standard these days and none of these things have caused a comment of any type other than some curiosity about our decision-making process and research. All we get is praise that are kids are healthy and growing well and that their parents are thoughful about raising them. My sister had gone to her before and she just stressed that this a doctor not a child rearing expert and that has been great for us.
Also, I really like a larger practice especially one with an associated walk in clinic. Super convenient.
She didn't bat an eye when I said that the next babe would be a homebirth (I had an unplanned, unassisted homebirth with the second do to a short labor) and just said to bring in her at two days. She did want to know about scheduling the post-birth genetic screening which is extensive in our state (our midwife does it). And figuring out a referral for a newborn hearing screen might be challenging because none of the local audiology practices do it because it generally done at birth in the hospital.
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