Yes, do NOT worry about magnetic screw drivers. I've used some very powerful ones in computer repair and they have never damaged any components.
However, I have something better than a magnetic tip.. It's a plastic "pen" looking device called a "claw. It almost looks like a skinny siringe. You push down on the top and three wire claws come out. They wrap around the head of the screw and there's 0 chance you'll lose it while starting/picking up your screw.
It's also useful for dropped jumpers and picking non-magnetic things up.
Example:
http://www.houseoftools.com/product.htm?pid=12616
Another useful, uncommon-to-the-household tool is the telescoping magnetic pickup. It telescopes outward like a TV/radio antenna and has a very powerful magnet at the end. I'd keep it away from sensitive areas of your computer though because the magnets on these are usually strong enough to pull a chair around the kitchen with.
http://www.houseoftools.com/product.htm?pid=12615
If you are JUST getting into computer repair, you might even want to buy useful tools for the "future" like network cable crimper, soldering iron etc... It really depends on what your expertise is and what you find useful.
Here's part of my tool kit right now:
Even though this is a 145 piece toolkit, there are still things missing - But thankfully I have a second set for odd-jobs. This thing gets the job done for the most part though and would be a great beginner/intermediate toolset for just about anyone.
The problem is, it has been discontinued and you can't really buy them anywhere but ebay anymore.
If you are interested in this toolkit, search for "Curtis 145 piece toolkit computer" and something will probalby pop up.
I bought this for 45 dollars a while ago and it was totally worth the money. The tools are of "good" quality, not great quality. The plastic casing is not bad, but I'm sure we all hate these little "snap in" cases.
I've found it easy to replace a number of these tools with higher quality tools though, although what you see in this picture are the originals for the most part.
It did not come with an anti-static wrist strap though.. And the vaccuum (like almost any you will encounter) kind of sucks (ironically).
Your best bet is to probalby build your own tool kit IF you are really, really, really into computer repair. If you just plan on repairing computers once a month or so, then a casual kit like this is fine.