I'm not an authority on the subject, but because I am going into the same field I have done quite a bit of research.

First, evaluate your course load and see how much of your curriculum is relevant; Usually CompSci doesnt involve many networking classes...but I don't know what school you go to and what classes you are taking.

Second, when you are getting your certifications be honestly concerned about your knowledge. Get your A+/CCNA at bare minimum and then to make your resume more flowery go grab a MCSE and Net+, but remember that if you have the knowledge (and know how to use it) then you are just trying to impress stupid (generally speaking) HR people which usually means the more things you can shove in their face to impress/confuse them the better

Like I said, the most important being that you can walk the walk. If you can't perform your job duties it won't matter how much money you give m$ to tell people you are smart.

Lastly, don't forget to present yourself in a professional and approachable manner. Starting out you will be someone's bitch, but such is the way of life...be enthusiastic, be willing to learn, and make sure your potential employer knows you are a versatile individual willing to do what you have to do.

Of course, all of my work is on the side and lately I haven't been doing too well myself, doing on call and side work so maybe I'm doing something wrong. Experience has always been my biggest barrier.

Remember when doing under the table work that while the money may be good, if you don't pay taxes on it then you can't declare it on a resume and developing a good resume is the most important part of advancing your career.