electronic switch to control battery from Espruino GPIO

I want to control the power for a display with using an electronic switch.

what i know / want to do:

• Espruino is powered by a CR2032 coin cell (3v, 230mAh) at BAT_IN and GND
  
• i want to use a GPIO to control the power of the display connected to VBAT and GND
  
• the display works from 1,9v - 3,3v and uses 8mA current
  
• i can't use the GPIO alone to drive the display, there is not enough current when using the battery (direct use of VBAT works), actually i will measure it this evening, it works when the Espruino is driven via USB
  
  

so far i am just searching and learning (i have absolutely no idea of electronics and it is a wide field for a beginner) and as far as i understand a NPN mosfet would fit here, the big question is - which one should i choose or is there a better way to switch the power for the display?