no deals eitherway. bus are generally 3000 Yen and take you to major spots/major hotels.
the JR West Kansai pass cost 2000 Yen for 1 day (4000 for 2, 5000 for 3 and 6000 for 4) and includes JR Express Haruka. HOWEVER you must buy at the ticket office (instead of the automated booths. ALSO, you'll need a copy of the ticket AND a foreign passport. figure your way to your accomodation (If you can take the local JR lines to your hotel it's also included with the pass, but it just go to anywhere central enough besides Umeda/Osaka Station)