Hi cyjoe49
Looks like a great itinerary! A few suggestions:
First
Mon, 19 Oct 2015 TAYAMA/KANAZAWA -SHIRIKAWAGO
This would all be hard to do in 1 day. Pick either Takayama or Kanazawa or Shirikawago. (my vote is for Kanazawa, but that is my favorite).
Second:
Thur, 22 Oct 2015 BASED in KYOTO-Day trip to OSAKA
Fri, 23 Oct 2015 Day Trip to OSAKA
Sat, 24 Oct 2015 Kyoto to TOKYO
Sun, 25 Oct 2015 TOKYO
You will save so much time not having to switch hotels. Have you Base be Kyoto and just do two day trips to Osaka
Three:
I would get a JR West Pass or JR 14 Day Pass (NOT the JR 7 day pass, it will NOT pay off)
http://www.japan-guide.com/e/e2361_kansai_hokuriku.htmlTake a look at Hyperdia.com to see costs and choose between the two. I do not think the JR 14 day will pay off for you, but double check me. The nice thing, if you want the JR 14 day pass, it will make travel easier. The west pass I would activate in Kanazawa before you go to Kyoto. You could also choose to not get a pass.
Four:
Kyoto Hana Hostel would be my recommendation for Kyoto. It will be traditional Japanese sleeping but you can get a private room with your own bathroom for well under your budget. Plus they speak perfect english
Five:
For Tokyo hotel check out this site:
http://hotel.tokyogigguide.com/It is a site for budget hotels in Tokyo and you can look by area
There is also hotel Mystays in Ueno. Very nice hotel usually around 10,000 - 8,000 yen a night
Six:
Think about getting a day bus pass in Kyoto. If you are going to be going on and off the bus more than 2 times the bus pass pays for itself. Its 500yen for the Kyoto day bus pass.
Hope this helps. Have fun on your trip!