if your chargers are built for appliances, then they probably will not work.
a 1 amp charger is not really going to charge a car battery. (it will, fully charge in in 30 days, maybe, if the charger does not burn itself out first)
You need a charger designed for Car batteries. They range from 10 dollars for cheap ones (that will still do the trick) and up. Harbor freight has some that will work, they are not the greatest, but you really don't need to be all that stable when charging standard lead acid batteries.
If you are running AGM batteries, it's recommended to use a charger made for AGM, but in all honesty, the jury is still out on that one (I use a normal charger on my AGM marine batteries in the winter.).
So without knowing more information about the "appliance power supplies" you have, I would not recommend using them.