N.K.
In my experience, the battery-operated nasal aspirators work much better than those plastic bulbs. I think they are worth the money. Something like this:
http://www.toysrus.com/product/index.jsp?productId=2585646
Nosefrida also sounds good, you suck it yourself instead of battery power, as far as I understand. So you wouldn't need to replace the batteries ;-)
Also, it helps a lot to spray the nose with a sterile saline solution (like Simply Saline or Little Noses) to soften up the snot before sucking.