I don't have contacts anymore (woohoo laser eye surgery

), but I wore them for a looong time.
To put them in, I would get the lens on the tip of my index finger, pull down the bottom lid (I'd use one of the other fingers on the same hand, but that might take practice) and just stick it in. To take it out, I would pull down the bottom lid and use my thumb and index finger to gently squeeze the lens and pull it out.
But there are different ways to go about it, as Jack and I illustrate. Find what is most comfortable to you.
Other tips are to have some saline solution on hand, to deal with any dryness issues (or dust, especially around here I'd imagine).
Try not to sleep in the contacts.
Get used to sticking your finger up there in your eye. When the contact is in, try moving it around a bit, just to get used to touching your eye.
My contact lenses had two different sides - they could get turned inside out, but they did not fit well that way. If yours are the same, then make sure you can recognize which side is which (mine had some kind of blue tinting that was meant to do this, and the shape was slightly different when they were turned inside out. Although I guess if you put in new ones every day, that is much less of an issue.