Dollar General!
I'm with Jim (autowasherfreak) - Dollar General's "clones" of Gillette blades are very good, and a tremendous buy compared to the original. They make cartridges for three generations of Gillette razors - the Atra, Sensor and Mach 3. Gillette wants around five bucks for three Sensor cartridges - Dollar General's version is $3 for six cartridges. The Sensor works best for my peculiar combination of beard/skin - heavy tough beard, sensitive fragile skin. The Dollar General cartridges have the same lube strip found on the Gillette version; the lube strip helps the blades glide over your skin, protecting it.
With the Dollar General cartridges, I use Barbasol shaving gel (not the traditional Barbasol foam) in the Sensitive Skin formula. The shaving gel is also available at Dollar General, as well as Big Lots, at about $1.25 per can. Gel protects your skin much better than foam.
I get a super-close shave with almost no irritation. And cheap! P.S.: While this varies from individual to individual, I find the best time to shave is the moment I'm done towelling off after a shower. The beard is soft and "set up" perfectly at that point. If I try a "free-standing" shave (meaning washing just my face and then shaving), it doesn't work nearly so well, because the beard hasn't been exposed to hot water as long.