Jphone, heimish comes from “heim”, home.
Don’t have internet, that’s why, when it comes to shidduchim questions, you want to use terms that are universally understood the same way. Rather than ask if a family is heimish, yeshivish, etc., ask simpler questions and then, if you get answers that include fuzzy words, ask the person you’re speaking to explain what s/he means by that word.
Personally, I never asked questions using words like yeshivish, heimish, chilled out uberultra, etc.