I shaved for at least two weeks each with Timor, Astra, Derby, Feather & Merkur blades. Everybody has a different experience, but I wasn't happy with Timor or Astra. Derby does the job, but I settled on Merkur and Feather (they're much, much better).
They're also a bit more expensive but since I can get so much use out of them and they're so, so much cheaper than the Mach 3's I used to use, I'm cool with that. :)
Yes, you always have to dry your razor after use. Disposable or not, the hour or so it needs to dry is actually enough for razor blades to noticeably loose their edge. This is part of what makes razor blade manufacture hard - you have to use very hard steel that can hold an edge, but the harder the steel the more prone it is to oxidation aka rust.
Also I use these blades: http://www.amazon.com/Derby-Extra-Double-Razor-Blades/dp/B00...
They are pretty cheap but I feel like they are not well made sometimes. Any tips on what blades to buy?