Aye, running a generator is a good way to telegraph that you have something desirable. Surviving government in the area might attempt to confiscate your "hoarded" fuel and generator, thieves in the area will lust after your obvious creature comforts, too.
But even the appearance of having a roof and a dry floor will invite those who have less. Some will beg. Some will barter. Some will bang at you. None of which you necessarily want.
What you want is a **lack** of attention...to be unnoticed. The worst combination would be to get noticed while you are unarmed and unprepared.
But being prepared and armed only solve two problems; you're still left with the problem of being noticed.
Scavengers are going to attempt to go into **every** unoccupied area, whether there is a house, frame, rubble, whatever. It's what they do.
Predators are going to attempt to go into every under-defended area. It's what they do.
Surviving government is a threat to confiscate anything that you display that they find "excessive" that might be more useful to them or to the "greater good." If your business is renting school buses, you're going to get your property confiscated. That's a given. If your business is a gas station and the remaining police need fuel, well, you do the math.
Nor do you want to engage surviving police or national Guard units in a firefight. Single-handedly taking on professionals is seldom survivable and even rarer to be advisable.
You want to be well-enough armed to handle lone predators or deter small gangs. Likewise, you want to go unnoticed by mobs and surviving government.
Perhaps the best ways to accomplish such difficult goals while remaining in your house is to live in a remote, rural area or to live on a boat (e.g. sail offshore and spend a little time fishing until order is restored again). An underground house might work. A treehouse **might** work.
If you have to stay in place in a traditional frame house in an urban setting, then you have to carefully tread such that you are in compliance with obvious firearms laws (even while anarchy is all around you), while simultaneously appearing to have little worth taking so that you present a BIG RISK, SMALL GAIN thought to predators and scavengers and beggars.
Speaking of beggars, you'd better be prepared to make them work **for** you rather than alienating them all (making enemies during anarchy is generally unwise). Offer them a bottle of water if they will go do something for you, for example. In this way you aren't telling them "No" but rather, are letting them know that begging from you is more costly than begging from others.
Bottled water, cigs, beer, booze, ammo, and gasoline are ideal barter materials...though trading away ammo and gasoline should be done with the thought in mind that such things could be used against you (judgement call).
Contrary to modern mythology, no one wants gold and few want Dollars during an actual emergency.
If you choose to remain in a lawless situation, then you are going to have to accept many uncomfortable compromises and many undesirable personal risks.
A couple of really big dogs can mitigate several of those risks, as can a simple stockpile of a few days of food and water and a few barter materials.
People in Somalia survive in anarchy by either having nothing, or by arming themselves and teaming up with like-minded allies to secure their persons and possessions. Having a house in Mogadishu is no doubt an exercise in surviving predators, beggars, scavengers, and gangs.
Have too much, and you draw attention from the gangs. Have too little defense and you draw attention from the predators and scavengers. Have too much wealth visible and you draw attention from all of the above.
Surely the better answer is to bug out whenever that option is realistic...but you can survive in Somalia. Enjoy the khat.