I have a medium-sized router in a router table, and I basically never use it handheld, because I'm too lazy to do all the unscrewing and re-screwing to switch over to handheld. Is there some sort of base plate that makes it easy to switch back and forth?

I see that Rockler has a solution with their Convertible Benchtop Router Table:

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...but I don't want to buy a new table, especially since my existing table is larger and has more features than that small one.

But it seems like a great idea, and I'm surprised that there's nothing else available that solves this problem. And before you suggest I make my own baseplate, remember: the heart of the problem is that I'm lazy.