Kas: Four years ago, when I committed to the straight, I cut myself every day for the first 30 days. Some days, as many as five cuts. On the 31st day, I didn't cut myself, and I rejoiced. I still remember what I was using that day, and I was quite proud of myself.
Since then, I have better days and worse days. Lately, no major cuts to speak of, and really not much in the way of minor cuts, now that I think of it.
There are a ton of really minor details that add up to a major effect, as far as using the straight. A few highlights:
First, check out straightrazorplace.com I prefer them to B&B, although the majority of my shave-related posts are on B&B, strangely enough.
Second, your razor should be really sharp, and prepping your beard can't be neglected (well, for now, at least). You don't want to put any muscle behind the razor. For that matter, do not use a slicing stroke at all. It's a elbow-and-shoulder movement. If there is any catch or pulling as you shave, put the razor aside, finish with something else, and hone it again later.
Third, your choice of soap/cream does matter, more so than it would for a Sensor or Mach 12.
I use mostly older razors, plus a couple of NOS. English, German, French, Spanish, Polish - they all work fine. Wedges, quarter-hollows, full-hollows, etc.