RE: Dell XPS 13 laptop battery swollen and touchpad lifted.
XPS L321x, 322x? Which model?
The service manual depends on the exact model, but you should get the battery out of the system ASAP before it swells to the point where it damages the casing, keyboard or palmrest.
Dell generally charges about $170 for any repair other than a screen or mainboard replacement - see here:
The battery requires just screwdrivers to change - you can also do it yourself.