First you and your kids have to answer the harder question of what is their trajectory? Does college make sense for them? If so which college? You'll have to find out how those specific colleges handle homeschoolers. Some are easier some are harder. Some will accept you with your transcript. Others will require a GED or quibble over some courses (may not accept your language "lab" or science). You'll also need to know what kind of base knowledge is expected and that will depend on trajectory. Having weaker chemistry knowledge may not be important if they are pursuing coding on the other hand it may be a weeding course that's required.
3 things stick out to me about higher level homeschooling. Specialized preparation, dual enrollment, and online schools.
The benefit of higher level homeschooling is that you can focus in on area and go very deep. If they are looking at math, the sky is the limit, if they have the discipline to learn it. Math is the rare utterly open source subject. But if they haven't learned how to teach themselves they may not get that benefit.
The second point dovetails with the first. You may be able to do dual enrollment at a technical college or community college and take higher level courses that will transfer in to college. You can also begin to study in the field you intend to pursue with a higher level educated teacher. Downside is that it's expensive and inconvenient for the parents.
Now there is another option, especially post covid, there a plethora of online schooling options. Some public school, some private, some free (state funded really), some expensive. The quality likewise varies and I can't tell you which are good and which aren't. This lets your kids study at home while still being "public schooled" which should make applying to college easier.
The most important question is whether or not homeschooling them would give them a tangible advantage at this stage. If they go to college they will be more than likely surrounded with wokeness on an industrial scale. Building up an immunity while they are highschoolers may be a net good. While you can still talk with them and help them see the kernels of truth, the insidious definitions, the logical extensions. Odds are you won't get to do that while they're at college. And hard fact is you don't get to guide them much longer. They are going to hit this crap, they have to be able to deal with it.
In short: Be very sure the benefits outweigh the detriments in your specific case. Homeschooling really shines earlier rather than later, there are benefits to be sure but higher level homeschooling is a different beast. Especially if college is on the horizon.