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Hopefully it will be awhile before your blade needs a touchup.
Strop not only before a shave, but also after a shave as well. This helps keep the edge as dry as possible.
Don't keep your razor in...

For choice of stones you will get a variety of answers. For touchups a Barbers hone as 10 Pups said. Personally I use an Edlis and a Swaty.

Welcome to SRP. I could answer here, but you will find a plethora of info here: Straight Razor Place Wiki - Straight Razor Place Wiki
Check it out. Let me know if I can clear anything up.