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If youre looking for the sharpest I'd suggest Feathe DE Blades. They are about the sharpest you'll find and they are great in mild mannered safety razors. The Parker SR1 is a good entry level...

The safety razors are both Gillette's. The wider handled one is known as a Fat Handle Tech, and the other one looks like an Aluminum Tech. They are very mild shavers. You should give them a try.