Quick Picks
Short hops don't happen only after the crack of the bat. Every infielder will get bad throws and whether they can pick that throw or not will be the result of their practicing quick picks. Have your first baseman dig out bad throws.
Have your middle infielders and third basemen practice "grab and tag"; this is where they're simulating a bad throw from the catcher or another infield that they pick and then have to make a tag on. Have them practice pop-tags, sweep tags and swipe tags.
The more game situations you can simulate, the more prepared your players will be.