I'd toss the bottle jack, as one is far too close to the lift when trying to use it.
Catastrophic failure could be catastrophic....
The little floor jack, I'd keep it and use it, understanding it's limitations.
You never know, you might come across another one that has a good cylinder and bent structure. People tend to abuse those things, I've seen several that were all bent up, but still had a perfect hydraulic cylinder.
Of course, you could opt to take either or both apart and give the inside a visual inspection. If they are clear of fouling or corrosion on the inside, it might be worth putting some new seals in. Especially as a learning experience.