How to hook Arduino Gemma or Lilypad to oled or alphanumeric display

I carry my 15 month infant in baby stroller, but nowadays temperature outside is very cold, just to be sure if baby is not feeling cold I want to attach Arduino Gemma or lillypad with Lilypad temperature sensor that should display temperature on an oled display or alphanumeric display connected via long wires , the display I want to place on display on handles of baby stroller, so while we are walking outside I should keep getting update on display in front of my sight.