I microwave eggs all the time.

You can even buy a special "m/wave egg poacher" gadget. You put a little water and vinegar, the egg, pierce yolk, close lid and it takes a minute or so.

Scrambled eggs is easy - eggs should not be cooked on full power - same for cheese.

The yolk will explode if the membrane is not broken.

There is a m/wave variation on the "egg in hole in bread" thing.

You need 2 pieces of bread, one with the hole. Butter both slices, place whole slice butter up on plate, top with holey slice with butter down - this makes a seal - place egg in - break yolk, sprinkle sheese (no, will leave that typo!) over egg, any spices or salt, then top with small cutout piece butter side down, top with slice of cheese if desired, or use the sliced "cream cheese" stuff. Then zap for a minute or so until egg is sufficiently cooked. (Slightly runny is nice).

This can also be done on one of those sandwich maker things with a top and bottom plate, this sorta toasts the bread. Method is sufficiently similar that even you lot should be able to figure it out. Do not put any cheese externally on this one - you might try a cheese slice between the two bread slices before the egg goes in the hole.

You can also do this in those "snack maker" thingies that clamp the bread around the edges - this makes a good filling for them. You do NOT cut the hole - and you must put the butter, marg, or even spray oil/whatever on the OUTSIDE of the bread slices.

Robin