[Firebird]

About the "green chip thingy touchi card", it is called Suica Card and you can bassicly buy it everywhere in the Stations. You will pay a deposit (its 500yem if im right (or 1000?)) anyway, you can get that back if you return the card. To charge the card you can just go to a vending machine, put the card in and it will ask you how much you want to charge. After you choose how much, just enter the money. It it really the easiest way to get around, because it works through your wallet and so makes the search for the card unnecessary.
Im not sure about getting the money back wich is left on the card, but ill assume you can get it back when returning the card. You could also keep it till your next trip in Japan (im not sure if Kyoto has Suica or if it is a different card like in Hokkaido).

Happy i could help you by suggesting the split option. I would book at least the Shibuya nights in advance because weekends tend to be more packed. In Uneo theres alot of place to stay, so i guess youll be alright (i would book in advance anyway).

Oh you can also pay in some places with that card, especially around or inside the station (like convinience store) but also in some restaurants and many vending machines around the Station (and buses,....)

Cheers