[Kobe City]
In Kobe City, major sightseeing spots are located in multiple districts (as in Kyoto City); it may be too far to walk from a spot in one district to a spot in another district.
Depending on your sites to visit, bus or railway is more convenient.
Buses on City Loop can bring you to various spots in Kobe City.
(The route of City Loop bus is partly complicated, so I recommend you would consult with the staff at Kobe Information Center which buses you should take.)
A one-day pass (sold at 660 yen) pays off when you have three or more bus rides in one day on this bus line, where neither a Kansai Thru Pass nor IC cards are accepted.
1960 yen = 2 x (240 + 410) yen on railway + 660 yen for a bus pass.
Your hotel --Walking--
Shinsaibashi Station (M19)
| [240 yen; Subway Midosuji Line]
(M16) Umeda Station: Exit 9 --Short transfer--
http://www.kotsu.city.osaka.lg.jp/station-guide/M/m16/Osaka Station
| [410 yen; JR Kobe Line: Rapid or Special Rapid]
Sannomiya Station: East Gate.
Kobe Information Center (open from 09:00 to 19:00) is near the east gate of Sannomiya Station (of JR).
http://feel-kobe.jp/_en/useful/information_guide/- japan-guide.com: Kobe
http://www.japan-guide.com/e/e2159.html[Osaka City]
In Osaka City, except when you walk around a few stations located close to each other, probably railway is more convenient.
- japan-guide.com: Osaka
http://www.japan-guide.com/e/e2157.html[Accesses from KIX]
Your hotel Hearton Hotel Minami Senba is located in a block roughly between subway Shinsaibashi and Nagahoribashi Stations, along the east-west Nagahori-dori.
http://heartonhotel.com/min.aspxI'll be arriving in around 9 pm to Kansai Airport and traveling to my hotel Hearton Hotel Minami Senba Hmm..., it seems one easy way is to use Nankai lines and Osaka Municipal Subway Sakaisuji Line, with one transfer in Tengachaya, to Nagahoribashi Station, then walk.
In a case where you can get to a counter of the Nankai Ticket Office in Kansai-airport Station (in KIX Terminal 1) by 22:25, maybe you can purchase there a Kanku Tokuwari Rapi:t Ticket (sold at 1130 yen), which allows you to take a Nankai Limited Express Rapi:t train with your seat reserved; the last Rapi:t train is scheduled to depart at 22:35.
Kansai-airport Station (of Nankai)
| [920 yen / 1430 yen; Nankai Lines: Airport Express / Limited Express]
Tengachaya Station (of Nankai) --Short transfer--
Tengachaya Station (K20)
| [240 yen; subway Sakaisuji Line]
(K16) Nagahoribashi Station --Walking--
Your hotel.
Gates above the underground shopping mall Crysta Nagahori may be already closed when you will arrive to subway Shinsaibashi or Nagahoribashi Station.
I recommend you in advance would ask your hotel how to get from each of the two subway stations to the hotel, informing the staff of your late arrival.