there are 2 types of samsung galaxy mini's
S5570 GSM - international
SGH-T499V - T-Mobile
i am under the impression you are not in the states, and have an international carrier.
but i will not direct you to the wrong one. The problem with moving these apps is that there are some that are not allowed to be moved. there is nothing we can do about that except contact the developer of the apps.
rooting you can move the majority of them, but as we have explained it can, and might cause problems and functionality with the app.
rooting doesnt cause problems, all rooting does is give you full access to your phone. rooting will not cause any damage to your phone in any way. it does void the warranty, but you can easily unroot if you need to.