So you want to do video conferencing with your computer? You've come to the right place. So many of our partners live and work in the field, and voice / video conferencing is the best way to communicate. Skype is our conferencing app of choice. More on that later...
First and foremost, get on the fastest network you can and use a wired connection if at all possible. WiFi is less reliable, and more prone to drops, stutter, and jitter.
If it's only an audio interview, I recommend getting a good quality headset with a microphone like this Plantronics one. This allows you to hear clearly, and it isolates the microphone from the speakers to prevent audio feedback.
If you are using video, I do not recommend using a headset; it will distract the audience from your message. You may use some unobtrusive earbuds, but if you do, I recommend running the wire behind your back. Also try to get a neutral color that blends in with your skin and clothes. Definitely see how it looks in the mirror and make sure it doesn't draw the eye.
For video, I recommend getting a high-quality webcam that has a tripod mount, like the Logitech C920. Unless you already have a mounting point that is high enough, you should mount it on a tripod—such as this one—to get the angle at or above your eye level. You can put the tripod on a table in front of you if you need the additional height.
For your microphone, I recommend using an external one like the Blue Snowball. If there’s one built into your webcam, that might work ok as well. I do not recommend the one built-into your laptop; it is mediocre and will pick up far too much environmental noise. If you find you are having feedback problems with your mic and speakers, then you may just want to use one of these Jabra conference mic/speaker combos; They work extremely well, and we use them for all of our group Skype conferences at the office.