The first one will give you a pain in the hands/wrists/arms, if corking more than 2 or 3 bottles.
The second one is better, though I do prefer floor standing type corkers....
Just remember, that while you can find corks that will go into the neck of a bottle designed for a screw cap, the glass is thinner and can break when putting a cork into the bottle. So it's usually better to use/get bottles designed for corks.
Oh, and the local recycling bank is a good place to look, as people tend to leave bottles in bags once the recycling bank is full - just sort through what's there.