To determine Peter's household size, we count all individuals living in his household, including himself, his spouse, his children, Miguel, Miguel's spouse, Miguel's children, and Peter's mother.
Peter's household includes:
1. Peter
2. Peter's spouse
3. Peter's two children (ages 12 and 16)
4. Miguel
5. Miguel's spouse
6. Miguel's three children (ages 6, 9, and 14)
7. Peter's mother
Therefore, Peter's household size is \( 1 + 1 + 2 + 1 + 1 + 3 + 1 = 10 \).
So, Peter's household size is 10.