wowhead is very nice for finding quests in an area:
http://www.wowhead.com/?quests=0.12#0+3+1+2

that should be the quests for Elwynn forest, sorted ascending by level required

don't forget you can hit Dun Morogh for some quests (tram from stormwind to IF):
http://www.wowhead.com/?quests=0.1#0+3+1+2

or find a way to Darkshore:
http://www.wowhead.com/?quests=1.148#0+3+1+2

Darkshore would be my suggestion, as it has quests from 9 on up.