Just go to your doctor and say this
"I have at least one, if not many, anxiety attacks everyday.
For the most part, they are all mild or severe.
It gets in the way of everything."
He/she will probably ask questions about the level, I get a tracking test (ex. how often do you feel worried -none of the time/some of the time/most of the time/all of the time). here's a link to a common one, http://www.thechangeworkscoaching.co...Sheet_Form.pdf
If you want, you could even fill it out and take it to the dr with you to help explain your feelings.

It's hard to say what kind of med you would get because I'm not a doctor and not your doctor. I have generalized anxiety disorder so I know more about that than major depressive disorder so my answer is related more to the anxiety attacks you feel (note, anxiety and depression often run hand in hand)
As far as I know for anxiety there are two options:
1) Anti Anxiety meds
http://helpguide.org/mental/anxiety_..._treatment.htm
These are usually short term use because they can lead to addiction, but they are fast acting so if you start to have an anxiety attack, you take one and it will bring you down quickly.
2) Anti Depressants
http://www.helpguide.org/mental/medi...depression.htm
These take a while to kick in, you have to sort of build it up in your system before you see an affect. You take one a day and it gives you an overall lessened feeling of anxiety/depression.

I've tried both of these, when I was having anxiety attacks, I took lorezepam (ativan - anti anxiety) and withing 20 minutes the panic would go away. It also helped me sleep. One of my problems was I was afraid to the point it was irrational of getting addicted and would choose not to take it when I needed to. Now I'm on Cipralex (lexapro) which has been working really well since I increased the dose.

Bottom line though is, talk to your doctor. If there's something you don't understand (about the med or your feeling) or something that worries you, TELL THEM. Being informed goes a long way in feeling comfortable about this. Also, if you don't have a T already, you can use techniques like CBT to help you combat the anxiety attacks in the long run so you don't have to stay on the meds forever.