Swapping a PSU is very easy, you will need to remove the main 24-pin power cable, the 4/8-pin auxiliary power cable and power cables to your devices.
Then remove the retaining screws holing it to your case, then reverse the operation for the replacement.
Never reuse internal power cables, always use the ones from the manufacturer, even the external power cable if you get one, as this will have been tested.
Make sure you ground yourself before messing around within the case.