>parts of the house aren’t getting power despite replacing the corresponding fuses.

Fuses??? Are you sure it's not breakers, because if your electrical panel is still using fuses that would indicate that your house is old, really old, and part of your high electric bill might be because they didn't really do the best in insulating houses back in the day. For example, my 1930's home, and several other 1950's and earlier houses I've been in have 0 insulation in the walls, and half of them have the original insulation in the attic from when the houses were built, which wasn't that great. Plus, old homes will leak air like a sieve, all of which will cause HVAC systems to operate more frequently (especially if you also still have the original single pane windows. The Department of Energy does have a DIY Home Energy Audit that you can start to get an idea of what to look for while you wait for the electrician. And if you house is indeed on fuses, your electrical system may have reached the end of its life. The asbestos insulation that was used in wires long ago becomes brittle over time and likes to fall off whenever it is messed with (plus, they didn't exactly have ground wires included back then, a necessity for many things these days and while some people will use the metal boxes as a ground, that's technically not an acceptable practice). This is one of the reasons I replaced every wire in my home, that and one circuit (fuse) would control half the house. Unfortunately, because I did this myself with the help of an electrician friend who's no longer in the area, I do not have any suggestions, but I do wish you luck because this has the potential to be a very expensive project...