Find an old fubar'd floppy disk and take the "cover" off it. Those are aluminum. Straighten it out. Heat up the joint on the factory cover and slide that aluminum piece between the cover and base of the pickup. Get it in there about 3/8 inch or so. Let it cool. Aluminum wont let solder stick, so slide it out and to the other side. While the pickup is still warm, work the factory cover off. You might get some wax that "glues" the cover to the coils..... but keeping it warm will let you take it right off. Clean up the excess wax with naphtha. Naphtha eats wax right up, and lets you wipe it. The wax will re-solidify as the naphtha evaporates off.
Thats about it really. Cover off are easier than covers goin back on, where the side need to be clamped/pressed, as well as the base to cover, to make sure it doesn't go microphonic.
BTW, you MIGHT want to wrap the coils with some black coil tape (black masking tape is all that is)... sometimes the coils are double wrapped, sometimes not. I like double wrap better for a bit of protection. Double wrap is each coil wrapped by itself (they all have that) then both together makes it a double wrap.