## Lot went out ##

This could be translated "So Lot left the house."

## his sons-in-law, the men who had promised to marry his daughters ##

The phrase "the men who had promised to marry his daughters" explains what "sons-in-law" means here. It could also be translated as "the men who were going to marry his daughters" or "his daughters' fiancés"

## Get going ##

"Go now"

## so you are not swept away ##

"or else you will be swept away."

## swept away ##

"destroyed" or "wiped out"

## in the punishment of the city ##

This can also be translated as "when the city is punished" or "when we destroy the city" (ULB).