I came to straights via safety razors. I developed my skill with lathering and paying attention to angle with them; I could get a nice clean, irritation and nick free shave every time. Two years ago I switched to straights and I rarely even get a weeper now. 6 or so months ago I gave my safety razor a whirl just to remember what it was like, and my neck looked like I was trying wet shaving for the first time! Stick with what you're used to and buy a styptic pencil. Blood thinners slow clotting; pressure will still close the same wound, but it will take longer to clot. Unless you slit your throat, the odds of you making such a serious cut that you could bleed to death are basically nil.