vanblah

Define "properly." What are you trying to accomplish? My suggestion is to find someone to talk with who understands what you are trying to do.

If you go to an opera singer or a broadway-style singer for help singing pop/rock you'll likely end up sorely disappointed unless they understand what you are trying to do. There are a lot of tips and exercises that you can learn but nothing is worse to me than hearing someone try to bring a classical singing style to pop/rock. Think Lawrence Welk singers doing Beatles covers ... sure it can be funny or campy but it's not really appropriate for the style. The best thing you can do is learn to support your voice and not blow it out.

With regard to vibrato, it's a slight back-and-forth (up-and-down) smooth variation in pitch. SLIGHT and SMOOTH. Much more than a slight variation in pitch and it becomes a trill; but how much variation in pitch and the speed depends on the mood and setting of what you are singing. For instance, ballads sometimes use a slow subtle vibrato that progresses to a rapid more pronounced vibrato during long drawn out open vowels. Rapid variation in volume is usually called a tremolo.

Your vibrato is part of your signature (coloratura if you will). Some singers (especially pop/rock) have a goat-like vibrato; some don't use vibrato at all. It's up to you to develop what you like and want to hear. There is no wrong way to do it in pop/rock.