Either can be practical, depending on your goals and set-up. I don't know what your true goals with chickens are. Eggs, meat, pets, to show, to breed, or some combination. It makes a difference.
It sounds like you would brood young chicks in your house. One possible disadvantage, especially if you have someone in ill health, is that chicks generate a lot of dust. That may be OK in your situation or it may become an issue.
I've found that brooder raised chicks are less able to forage for themselves, compared to chicks raised by a broody. Same with being able to protect themselves from predators. This may or may not be a consideration depending in your set-up and how the POL pullets were raised.
With POL pullets, you know they are pullets. With chicks, you are not as certain. What are your plans to deal with potential roosters? Or would roosters not be a problem?
What are your options for purchasing chicks? Here, many hatcheries will only ship a minimum of 15 or 25, depending on the hatchery. We can get fewer, but that gets pretty expensive. You may be able to get chicks locally in any number, so this may not be an issue.
In either case, I'd have the facilities built before I purchased them. Most chicks will be fully feathered by the time they are 5 weeks old and can go outside. Those five weeks can go by pretty fast when trying to build something, especially if you get bad weather or something comes up. And getting them out of your house may be an issue.
Good luck with it, whichever way you decide.