When I first started using a straight I just rinsed it under the faucet. Always tried to be extremely careful about not getting any water near the pin, or blade by the faucet. I did seem to be constantly drying my hands on the towel during the shave to make sure my razor stayed dry, as I was also rinsing my face between passes (not doing that now).
A month or so ago had my razor in one hand and reached for my brush with the other and chipped the blade on the faucet. Although very upset with myself, I was able to repair it with my Nani's and it is now good as new, that was a great feeling.
A friend told me I should be using a sponge and not the faucet. Did not take his advice right away but a few days ago at the grocery store I picked up a large sponge covered with micro fiber cloth.
This works great. My razor stays totally dry, for the entire shave and never gets near anything that might chip the blade.
Sorry FranfC, should know by now to take your advice right away.