I plan on visiting Luoyang and Songshan in the next month.

I was hoping someone could help me out with this itinerary.

I plan to arrive at Luoyang on Day 1 and see the Grottoes/museum and any other local attractions near my hotel. I will stay in Luoyang the night.

On day 2: Take a bus to the Shaolin Temple. Could anyone tell me how far the Shaolin Temple are from the peaks of the mountain? Is it possible to get up and down the mountain + seeing the temple before the last bus leaves to Dengfeng?
Finally, what is the cost for the mountain itself?

Thanks for any help.