Hi Again,
You can take the Haruka limited express train directly from Kansai Airport to Kyoto, which is a great way to travel there.
This will take about 80 minutes but you can take the train directly from the Airport. Kansai Airport is not very big, so it is easy to find the train, just follow the signs with Raiways.
Once in Kyoto take the subway from Kyoto station to Karasume-Oike from there you can walk to your hotel in about 5 minutes. An other option is to take a taxi from the station to your hotel, which I would do with 70k of luggage :) I would estimate the taxi fare around 1,500 yen but this depends on a lot of factors.
With the JR Pass in Kyoto I would recommend a visit to Fushimi Inari and Nara for sure. Both are completely covered with the JR Pass and make for great day trips.
I hope this helps,
Daniel