I think you're overestimating the danger here.
The Asteroid Watch tool currently shows five near-earth astroids that are going to pass close (relatively speaking) in the next several days.
The nearest approach of all of them will be 2024 JV8, estimated at 20.2 meters across, passing about 1.5x moon-distances from us.
So first I think you need to really think about how far the moon is. In terms of the solar system, yeah, it's right next door, but it's also 363,000 km away. The whole planet is only 12,700 km wide -- the earth-moon system is mostly empty space. "Half again as far as the moon" is a huge margin to miss the planet by. Is it worth watching? Sure. But is it indicative of a present danger? Nah.
Second, that asteroid is only 20 meters wide. It's basically a Chelyabinsk. If it did hit the planet, we would expect it to break up in the high atmosphere and, at worst, break some windows with the bang (but it's vastly more likely it would come in over the ocean and no human being would even see it). We get one of those a couple times a century. Notable, but not particularly dangerous. Thunderstorms are orders of magnitude more hazardous to human life.
The largest of the bunch is 2024 MT1, at 82 meters. If it hit the planet, that would be a local disaster and an event of worldwide interest, like a large volcano or earthquake. It could cause mass casualties if it happened near a populated area (again, like a volcano or earthquake). We estimate that a meteor like that hits the planet about once every ten thousand years, or in other words about once in a metric Human Civilization.
But its closest approach is about 4 times the distance to the moon. And I think it's important to remember that the target the object has to pass through to be "four times the distance to the moon" is absolutely enormous. It's not 4 times bigger than a circle the size of the moon's orbit; it's 16 times bigger. And the moon itself is ~30 earth diameters away, so if the moon's orbit outlines a dartboard, the bullseye that is Earth is only 1/900th of the dartboard.
Again, is it worth noticing? Sure. And we're tracking things like that now. But it's not a cause for alarm.
We can look at human history and estimate how alarming any of this should be. How many meteor strikes have wiped out cities in all of our known past? How often does an asteroid impact cause planetary mass extinction? How often do we even have a new crater to go look at? Past performance is no guarantee of future results, but just by looking at our known history, we can estimate how much of a threat any of this is, and quite frankly a rock from the sky hardly even makes the list compared to our usual supply of natural and man-made disasters.
