You should be fine charging it with either one. The iDevice itself (mini here) will control the current flow to the battery, so you don't need to worry about a charger's ability to supply more current. Some report that they are getting faster charging times with >1A chargers, which would imply that the 1A charger is the limiting factor at least for some amount of the charging cycle. If so, I think you'd be better off with the one on the right.
At best, your PC USB slot is probably putting out 0.5A, and may be as low as 0.1A. Your mini will probably not show any signs of charging (in the battery icon), but I think it will still be "trickle" charging. You're much better off using one of your wall chargers.