I just reuse the same razor for months on end, sometimes six months. It gets dull, which is actually great. I get far more face cuts from a sharp razor. The dull ones I find are highly effective. I always use premium razors.
I dont use shaving cream either, just some bar soap when I am in the shower. The hot shower seems to make my skin easier to shave.
Shaving with dry skin (with shaving cream) in front of a mirror is a nightmare, and has resulted in far more cuts for me