You didn't say if this is part of a larger trip, and if you just needed assistance with Osaka/Kyoto transport.
If you are going into KIX, and just doing Kyoto and Osaka, you might look into the Kintetsu Wide Area Pass for transportation to and from the airport, and to and from Kyoto from Osaka. Here is the Japan Guide Link:
http://www.japan-guide.com/e/e2357_006.htmlThis pass will give you round trip tickets from the Airport to Namba. These are on the Nankai Private train line, and can be used outside of the five day period that the Kintetsu Pass is active. Since you plan to have four days in Kyoto, you could activate the pass, spend four days in Kyoto, and then travel back to Osaka on the fifth and final day of the pass. You could also use it during the five days to go to Nara.
But, as for getting around Osaka, and Kyoto, this pass does not do much for you. You could get some additional value out of the pass by visiting Ise, Yoshino, Nagoya, or Iga-Ueno. If you had no intension of visiting these places, I would not add these to get the greatest value out of the pass.
This pass is most effective if you are going to stay in Namba. This might not be where you want to stay.
This could also be a push, in terms of cost. A Icoca & Haruka package would cost 1600 + 2000 = 3600 yen, for a trip directly to Kyoto. You could then use the Icoca Pass to get to Namba, or wherever you plan to stay in Osaka, and use about 1000 yen of the prepaid card. You could then take the Nankai Rail line to the airport for around 1000 yen again Check out the Kanku Chikatoku Ticket on this page:
http://www.japan-guide.com/e/e2033.htmlThis is about the same cost as the Kintetsu pass.
Look into the bus pass for Kyoto. It all depends on where you stay and where you are going in Osaka.
In the past, I have stayed at Shin-Osaka station, and used that location for taking day trips around the Kansai Region. I usually had an active JR Pass, and would go to Kyoto, Himeji, Kobe, and Okayama from Osaka. Shin-Osaka was where JR Central and JR West lines linked together, and so it was a place where lots of trains departed to other places. In short, is was a good central hub to start from.
You have to think about where you are going to go and see. It depends on the distances that you will travel on if you need a Pass. Like I said in my first post, you can easily spend a whole day and evening wandering around the Namba area without ever getting on a train or subway, and you will not need some fancy pass for that day.