Neighborhood, Vicinity, Environs, Nearby, Locality
noun
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.
ふきん
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.
この付近に、コンビニはありますか？
Does this neighborhood have a convenience store?
付近にいた医者が助けてくれました。
A doctor nearby helped me.
山の付近ではヘビに気をつけて下さい。
Please be careful of snakes near the mountains.