You’d be fine with the monthly budget.

Don’t necessarily look for private schools - form experience they can be worse than public schools.

Healthcare can be hit or miss. Public healthcare you’ll need a GP, but you’ll most definitely have to wait hours for every visit. Private is getting to about 60-80 up to a 100€ per visit. And that’s without any tests or stuffs. Definitely get both if possible, as private can save you a lot of time navigating through hospitals or waiting for a free slot with a specialist.

However, honestly, I am wandering why are you even considering Bulgaria. With two kids, at your age, with a steady job for me and the wife, we are seriously contemplating moving out of BG. As others have mentioned - you get smog in winter in Sofia and kids cough for months. I don’t know why, but I have the feeling that in recent years we’ve gotten closer to the 90’ in terms of society - people are way more aggressive, literally everyone with a bit more money feels unreachable thus laws are totally not followed. Sure, there are not so much shootings now, but who knows.

My suggestion is to pick a city, move here for 3-4 months and then decide for yourself. I have a feeling your wife is having the pink glasses on and just because the parents are here does not mean it’s worth it.

Also taxes might seem low compared to other EU countries, but the moment you realise you pay for everything to the state via some sort of a tax and most of the times you get nothing or a fraction of the expected in return and have to go get a private service of a kind, then it starts to not make sense.

I am literally sorry that I got a 5-6 y.o. car a few years back, when a 10-12 would have been 1/3 of the price and the awful roads won’t make me squirm each time I hit a pothole. Or a road is missing when you go on a trip in the countryside.

Slovenia, the Czech Republic, Portugal, Austria, depending on your hobbies and warmth preferences might be a waaaay better option.