Honestly, I really think the healthier thing to do for the kids would be to separate completely but get them into counseling so that they have someone to talk to and can learn healthy coping mechanisms related to this situation..  If the parents stay living together for the kids’ sake, they probably shouldn’t date other people for the kids’ sake either, because them dating other people is also likely going to have a negative effect. They may have to accept that they cannot separate without it having SOME negative effect on the kids, and if they are completely worried about them being damaged, they need to just stay together for the next 13 years. This whole thing seems well intentioned but still unhealthy as it’s likely to set an odd example for the kids growing up and can you imagine what their friends are going to say when they get older?  I guess it depends on the country though, I don’t know much of the culture in Croatia, so perhaps this is more normal there? Still, it might be a good idea that they at least talk to a psychologist who specializes in children’s clinical psychology to get an opinion on what is actually the best thing to do in this situation if they don’t want to stay together and committed only to each other.

I’m so sorry to hear about your job situation. Perhaps if you do end up moving, you will find better options that will be more stable commitment-wise in the place you move to.