You can use shunted or non shunted tombstones but how you wire it will depend on whether the LED bulb is double ended powered or single ended powered.
If you are purchasing double ended powered bulbs you would connect power to one end (using shunted tombstone) and the opposite side (of the fixture) will be to neutral. If you have single ended powered bulbs, you need non shunted tombstones and would put power to one side of the tombstone and neutral on the other side of the same tombstone and only to one side of the fixture.
Connect all powered side wire to the incoming power to the fixture and all neutral wires to the neutral wire coming into the fixture.
For single sided bulbs, make sure you install the correct side of the bulb to the fixture. The bulb should indicate which side you should connect to the wired tombstone.
Most plug and play bulbs (using existing installed ballasts) are double ended powered bulbs. If you are taking out the ballasts and using the shunted tombstones, the wiring will need to be different. Power would go into one side of the tombstone and on the opposite side (of the fixture) would be neutral. Connect all power wire together to the power wire coming into the fixture and all neutral wires to the neutral wire coming into the fixture.