From Kansai Airport (KIX), Nankai Railway's airport express "Rapi:t" takes you to Shin-Imamiya Station in 37 min. It is a direct connection and you don't need to change trains.
From Shin-Imamiya station, it is only 300 meters, or 3 min. of walk, the room is located.
The following list of tourist spots are all in 20 minutes walk distance!
Tennoji Zoo and Park
Osaka Municipal Museum of Art