To apply an AutoFilter, you could use the keyboard:
Alt+D (to open the Data menu)
F, F (to select Filter, then AutoFilter)
To select an item from one of the dropdown menus in the heading cells:
Navigate to a heading cell
Alt+ Down Arrow (or Up Arrow) to open the menu
Use the Arrow keys, or PageUp or PageDown keys to
move through the list
Press the Enter Key to select an item