OK, good job on the signature! Thank you.
You have to have the pump off to drain water, unless your plumbing is such that you can pump through the main drain only while the skimmers are closed off. If you can't do that, then you need to remove water in some other way. You can do that by siphoning, if you happen to have the hilly terrain that would require, or you use a stand-alone submersible pump, a small one which you can purchase or rent. Something like this:
There are tons of brands and styles, such that I'd be hard pressed to recommend a specific one. I want one myself, but haven't yet been able to pick the right one. Or you can usually rent one for a day, like from HD or Lowes. You can spend as little as 50 bucks, or go deluxe and spend hundreds.
You have a vinyl pool, which I don't have any experience with. But I know that you have to be careful about how much water you remove at once. The water is part of the structure of a pool (any pool) and if you remove it, you run the risk of compromising that structure. Like caving in the sides or floating the bottom. I have a concrete pool, but I still wouldn't drain more than a few inches. I would do a no-drain exchange, which you might have already read about. It's the slowest, and the most expensive way to exchange water, but it offers virtually zero risk to your pool if you do it right.
So,
1. work out if you want to do a quick exchange, or a no-drain exchange. (Read the link
@PoolStored gave you.)
2. figure out your plumbing to determine if you can use your filter pump, or if you can siphon, or if you need a submersible pump.
3. then figure out how much water you need to exchange. You'd use Pool Math to do that.
Holler if you need help working out any of those three things, and then we'll have the makings of a plan. You're not going to get your CYA right by just stabbing at the problem. You need a plan, possibly some equipment, and then you'll be good to go.
In the meantime, keep your FC up as best you can, so that your pool doesn't go totally green. Because that will just make the fix all the more difficult and expensive.
For what it's worth, you're in this fix because of the tabs. They are the devil. They're super convenient, but you were probably never told that is an unsustainable method of sanitization. Eventually they add too much CYA, and then you must exchange water to start over. You didn't do anything wrong, per se, but there are much better ways to keep your pool sanitized. And we'll show you how once we get that CYA down.
If you want to follow the path I was on, after my tab feeder ruined my pool, I stopped using it and then never used it again, finally ripping it out of my plumbing. I haven't had any algae, and I haven't had to exchange any water, for almost five years now. But first things first. Work on that list and check back in with any questions.