The Yamaha KDC5300 will work for the P-60. It's made of an anti-static plastic material and is pretty good if you want to protect against liquid spills (I use the KDC5300 on my P-120). However, it is now discontinued; but still available from Kraft Music and also via Kraft on eBay. http://www.yamaha.com/yamahavgn/CDA/ContentDetail/accessorydetail/0%2C%2CCNTID%25253D21348%252526CTID%25253D%2C00.html
The replacement cover is the KDC8811. I believe it is made of a stretchable black material with locking drawstrings.
I know that you have to remove the music rest to use the KDC5300. I'm not sure about the KDC8811, but I would guess you have to remove the music rest in this case also. Hope this helps.