So, do I have a right to reside in that country?

I assume I’d need to get an alien passport first?
What would be needed as soon as possible is a roof over my head, a source of income and starting to learn the local language.
And then I’d have to figure how to get my children where I am.

I would survive essentially the same way I am surviving now. There is no huge different between how life is in difference countries. I’ve started my life largely anew some five times now, in various countries. All in all, it’s the same experience anywhere.

So, the answer to the question is: Relatively easily.