SVT Nyheter Gävleborg has followed the family's escape since they left Kyiv at the end of last week.
Late on Sunday, they reached the border with Poland and were able to travel on to Warsaw.
However, Julia's husband Bogdan and Olia's husband Roman could not follow across the border.
They had to turn around and travel back into Ukraine.
Left everything
- It is difficult to leave everything.
We think all the time about everyone who is left.
On our men, says Olia Babicheva.
- Everything we need would fit in a bag.
How do you choose what to take with you when you do not know if you will return, says Julia Shestak.
Flights to Sweden
In Warsaw, they managed to get plane tickets and get to Skavsta outside Nyköping.
From there, good friends drove to Gammelboning and Eva Lööke who have been waiting for them since Thursday.
And it was an emotional meeting.
- We have received a lot of support to get us here.
We are happy that we have finally arrived, says Julia Shestak.
The sisters and their children will now live with Eva Lööke while their father will live with one of Eva's neighbors.