Miniature LED on flexi

I’m designing a block model of a smart watch and would like to illuminate the screen… the screen will be Clear, but back painted BLACK with the text area allowing light to show through. Because the watch is curved and very small, I’m looking to solder together a battery, microswitch and some kind of LED flexi (preferably with white LED’s x 3)
I’m presuming I need 3V to drive the LED’s from coin cells. Do you have a suitable strip?