First of all, I strongly and wholeheartedly approve. And now please allow me to be a bit pedantic: bolted <> screwed.
These are Phillips screws:
To get them out of the way and liberate whatever they're fastening, we need a Phillips screwdriver, or, if we don't mind the noise, a Phillips bit on a cordless screwdriver or drill:
There are many screw drive sizes, but PH1 and PH2 are the most common, and if it's not too tight we can make do with one instead of the other. (though it's not ideal, we might end up damaging the screw drive or our tool)
These are hex bolts (there are other types of bolts, but usually we encounter these ones) :
They can be tougher. To get them out of the way, we need some kind of spanner (aka wrench):
If it's not too tight and there's room to turn the tool around, a simple open-ended or adjustable spanner will do:
A ratcheting socket spanner (aka socket wrench) with the relevant hex socket can be much faster, if noisier:
And with a universal joint (the bottom left thingy in the above pic) we can turn the tool at a more convenient angle, if other stuff or the item itself is getting in the way. But we're still relying on our own strength and a bit of leverage.
If it's aggressively bolted down, our own strength may not be enough (which doesn't often happen with screws unless they're rusted or damaged), so we'll need a hex socket bit and a cordless drill, or better yet, an impact driver. There are many hex bolt / socket sizes, none is spectacularly more common than others, and they are not interchangeable.
Basically, unless you're John Henry, if it was fastened with a power tool, it must be unfastened with a power tool. Or truly impressive amounts of leverage, which may or may not fit in the backpack:
And if it's a huge fuck-off bolt, like the ones we see in cars or huge fuck-off equipment and construction projects, then we might need a huge fuck-off impact wrench.
So in summary, carrying a simple PH2 screwdriver will solve a lot of screw-related problems, but bolts typically require more tools, more specialised tools, and more noisy tools. So it really is a bigger hassle.