Listen to last night's class, "Tevilat Keilim," here.
Follow along with the sources here.
For further research:
1) Read about the misconception that we mentioned, regarding using a utensil one time before dipping it, here.
2) We briefly mentioned that in a "she'at hadahak" pressing situation one can be lenient and eat on the utensils of a host who hasn't done tevilah. Read R. Asher Weiss's extensive analysis of this pesak here.