Vicinity, Environs, Nearby, Locality
If you attach things near you, they end up being in the same neighborhood as you. They're attached nearby so they can't go much further.
This is a jukugo word that uses the on'yomi readings of the kanji. You didn't learn this reading for 付 though, so here's a mnemonic to help you:
Your neighborhood is full of fools (ふ). Fools everywhere. You're probably one too, since you live nearby.
Does this neighborhood have a convenience store?
A doctor nearby helped me.
Please be careful of snakes near the mountains.