1. inside the breast of one's clothing (esp. kimono); bosom; (breast) pocket
俺は写真を懐にしまった。I tucked the photo inside the front of my clothes.
2. space between one's chest and outstretched arms; (one's) reach
それを回避しながら、一気に敵の懐に飛び込むぞ。Dodging that, we'll charge straight inside the enemy's guard.
3. heart (e.g. of a mountain); bosom (e.g. of nature); depths; inner part
山の懐に小さな村がある。There's a small village nestled in the heart of the mountains.
4. mind; heart; inner thoughts
彼は先輩としての懐の広さを見せた感じか?I guess he was showing his generosity as a senior?
5. money (one is carrying); purse; pocketbook
あいつらが見ているのは、自分の懐だけじゃねぇか!All those guys care about is their own wallets!