You might want to consider the GE Enbrighten plug-in undercabinet lights which are available in three lengths (12", 18", 24") and can be linked together to reduce the number of plug-ins required. Two sizes happen to be on sale at the linked site. Additional linking cables are available.

You need to measure the widths of the undersides of your cabinets to select the proper fixtures and measure the height of the undercabinet molding to make sure it would hide the fixtures which are 1" high.