"They took everything from us."
Translation:Vzali nám všechno.
The meaning is slightly different. "Vzali nám všechno." means they stole everthing we had.
"Vzali si od nás všechno." means they took from us everything we gave them.
"Vzali si všechno od nás." stresses "od nás" and should be pronounced with these words stressed. It means that everything they took they took from us, not from somebody else. And we gave it.