After imigration, luggage claim, and custom, you are now in Osaka. For Mare Minami Senri, you first take the Airport Limousine Bus bound for Osaka (Umeda) station (1300JPY). And get off at "Shin-Hankyu Hotel" bus stop.
Note: When you take a taxi, you can tell a taxi driver that, in Japanese
"Oosaka Daigaku Konbenshon Sentar he itte kudasai"
Or show him this
map.