I'll echo just about everything rugorak said.
I also use a DE safety razor. I got it used from a gentleman on one of the safety razor forums for about $20. I could have bought a new one for the same price, but at that price-point they're all plastic these days. The head and handle are chromed steel and aluminum, respectively, and the whole thing is still corrosion-free after 48 years (yes, my razor is 27 years older than me! a testament to their longevity). I expect it to last the rest of my life. If you go used, any reputable seller will disinfect the razor for you in some pretty serious germ-killer, so there's nothing to worry about there.
The sample pack I got was about the same, 20 or so dollars for 100 blades, and I'm about half of the way through after 10 months. My favorite blades so far (Dorco Blue) are some of the cheapest, currently $8 for 100, or 8 cents a blade. Each blade lasts me about a week, which is 3 face shaves and 1 legs. Some of the more expensive blades last longer, but cost disproportionately more and I don't like how they feel on my face.
I too was worried about cutting myself more, but after getting the technique down (there's really not much to it) I don't think I could cut myself if I tried. The blade is sandwiched between the 2 layers of the razor head so it hardly sticks out at all, just enough to cut hair and nothing else. In fact, I'd be more worried now going back to a four or five blade razor; those blades are way more exposed. Using the safety razor also got rid of the razor burn I'd get on occasion.