The place is within the central area. You will never regret staying with Min's shared house. The host is very accommodating and helpful. You can walk Shinjuku-gyoen park from his area. It's a must esp with cherry blossoms season. The place is big and reasonably furnished as what you can expect from what you paid for. Note: for JRPass users the jrline is bit of a walk from the area so if you don't want to walk, the oedo subway line is much nearer but you have to pay for it since it's not covered by the pass.
I will definitely recommend this place for it's locarion and convenience. You can walk to shinjuku and shin-okubo (korean town) from his place.