Welcome Walrus. As others have mentioned, you should get carbide tip gifts instead of high-speed steel bits. While there are sets with a huge number of bits, you can get by for most projects with a basic set. If you buy a set of bets with 30, 40 or 100 bits in the set, you will find out that years from now many of them were never used. You would likely want to get at least a straight trim bit, and Ogee bit, a chamfer bit, a flush trim bit, a slot cutter bit, a rabbet bit and a round over bit. Many companies sell sets of bits, and Bosch has a six piece set of 1/4" bits and Yonico has a 15 bit set of bits. Although both are carbon tipped, the Bosch bits are about 2 or 3 times more expensive; there are also sets much less expensive. There is a reason why. However, you may wish to start with a less-expensive set to see how the bits perform and what they will do for you. It just seems to me that if you got a smaller set of Bosch bets – or Freud, Whiteside, Amana Summerfield, etc -- They would probably last much longer and be the types of bets that you would use much more often.
The initial set of bits you get will likely include one or more of the following bits: a round over, a straight bit, a rabbet bit, a flush trim bit, a chamfer bit, an Ogee bit, and a corebox bit.
Do yourself a favor and read the articles that Stick has posted, especially the ones related to safety. Besides the obvious need to wear quality safety glasses, you'll want to pay attention to the articles about router speed and direction of travel when cutting. These Articles are an excellent place to start and as you progress, you will find yourself referring to them from time to time. There are a couple of articles about bits and profiles. They can show you what can be done with some basic bits.
