Hi. I'm currently in Romania, and even though I manage to stay afloat here quite nicely I'd hate to have a family here with kids growing up in this environment. Poland is doing ok and improving steadily, the Czech republic is also quite manageable. But compared to say France, Belgium, the UK, Sweden, Germany and the Netherlands there is still a significant difference.
Romania:
For instance, infrastructure here is lacking (but internet is quite good), roads are bad, traffic is insanely dangerous, I'm positively terrified of getting into a road accident here. Medical services exist but it's cash up-front or you're in trouble. Older folks are living terrible lives (little or no social net, so tons of beggars on the streets). I would never want to live here with a family, and friends of mine that emigrated here with their kids from Canada have already packed up and left again, their explicitly stated reason is they don't want their children to grow up here. Romania is a beautiful country, it has tons of potential, I know a large number of really nice people here but there is much work to be done and a long way to go to put an end to all the corruption, to fix the terrible state things are in and to get good healthcare.
Poland:
Poland has done very well, in the last two decades the changes have been enormous. Proximity to Germany has definitely helped the Poles, America has also invested quite a bit of money there. And of course they have helped themselves, they collectively worked very hard to get out of the rut they were in at the end of the 80's. Infrastructure is improving, every time I visit I see new stretches of highway that come online, cities are slowly being cleaned up, there is more or less continuous progress. Healthcare is not super good but it will do. Raising children in Poland would definitely be a possibility.
Czech Republic:
My knowledge about the Czech republic is thin and mostly second hand, but I know two couples that were mixed nationalities that lived there, both have now moved to different countries in western europe (France and NL respectively). In one of those cases the parents explicitly stated they did not want to live in the Czech republic with children for a number of reasons, all of which sounded plausible to me. (Most prominent: not to limit the future chances of the children).
I have no experience with Latvia and Estonia so can't comment on those.
So I don't know how much direct experience you have with any of these countries but I would definitely hesitate to bring my children here, I would feel I'm doing them a serious dis-service.