Wondering if it was anything like the nuclear family of today, or if it completely different.
You might find our FAQ to be helpful, particularly the sections on Daily life in the Roman world and The Roman economy. I would like to direct your attention to these answers from the FAQ specifically:
Did people in the ancient world have jobs in a modern sense?
Describe urban home life for Ancient Romans
The above written by our very own /u/XenophontheAthenian.
Also:
What was life like for a boy in Ancient Rome? by the fantastic /u/Celebreth.