These things will raise a Pokemon's friendship: 
Ribbon Syndicate massage 
EV berry 
leveling up 
vitamin 
Veilstone City massage 
battling a gym leader, elite 4 member, or champion 
128 steps 
learning a TM or HM move (make sure you don't infringe any copyrights when using a trademark move) 
X items (including dire hits and guard specs) 
These things will lower a Pokemon's friendship: 
fainting 
surviving poison outside of battle 
bitter herbs 
source
The easiest ways to evolve Togepi are probably leveling up, EV berries (I'd recommend any of the 6 except Hondew and Tamato), vitamins (I'd recommend the calcium and carbos), and the Veilstone City massage. Use a soothe bell if you can.