I switched to a double-edge razor and will never go back to the crappy newer models.
There are many styles out there but this is what I bought after much research:
http://www.amazon.com/Merkur-HD-34C-Chrome-Plated/dp/B001LYAQ9E
The blades are inexpensive and VERY high quality. The blades in the expensive cartriges are like foil.
The Feather blades are about 4 bucks for a 10 pack (quick math, about 40 cents a week IF you switch out blades weekly). I’ve used the Merkur blades too and both are excellent.
http://www.amazon.com/Feather-Razor-Blades-Hi-stainless-Double/dp/B001G5FOLI/ref=pd_sim_hpc_4
I have that same razor handle and love it. I had been buying the Wilkinson Sword blades at Walmart for $1.75/10, but they stopped carrying them. At least Fred Meyer has “Kroger” branded blades, but they are about a dollar more per 10 pack. Still a cheap shave at one blade a week.
I’ve found the glycerin shaving soap lathers up really nice, too.
I used to hold the razor upside down, turn the opener and pretend it was the belly of a B-17;-)
That’s the exact same one that I use.
My son has the DE razor that screws open from the bottom with wings.
http://www.amazon.com/Parker-22R-Handle-Butterfly-Double/dp/B0017QSZY4/ref=cm_lmf_tit_30