I didn't find any Shortcut to move selected layer (one or more) frame ahead on Timeline. Pleas help.
No shortcut* but you can use snapping to snap to the CTI or you can reveal the in and out point and add frames by simply typing a +1 or the new value for the in point.
*Edit: Except for the shortcuts Todd posted. I claim temporary mental block due to lack of sleep....
Move selected layers 1 frame earlier or later
Alt+Page Up or Alt+Page Down
Option+Page Up or Option+Page Down
Move selected layers 10 frames earlier or later
Alt+Shift+Page Up or Alt+Shift+Page Down
Option+Shift+Page Up or Option+Shift+Page Down