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I put four snow tires on both of our Fits yesterday in preparation for the 12" of snow. Fortunately, that snow never arrived - just a dusting.
My son's Fit has new Blizzaks on new 15" alloy wheels, and my Fit has the old X-Ice on standard Fit wheels. I'll be in the market for new tires in the spring, and I'll have to decide if I want to buy new wheels. I've gotten good wheels from Tire Rack with the tires installed. One set of wheels I got from them use lug nuts that are splined, so I have to use an adapter to remove and install them. That's a nuisance. My son's new wheels can use regular Honda lug nuts. I think I'll sell those wheels when the snow tires wear out.
You would need TPMS for them and obviously need to get tires mounted but you could use the factory lug nuts.
Really not a bad deal considering they're brand new.
You don't need TPMS for new/winter wheels, although it's perfectly reasonable to buy them if they give you peace of mind. The TPMS in my 2010 Sport were dead when I bought it from my brother. It didn't bother me then, didn't bother me enough to get new TPMS when I replaced the tires a couple years ago, and still doesn't bother me.
As far as wheels go, remember that the Honda Civic was one of the best selling cars in recent decades, meaning there are untold numbers of older 4x100 Civic rims available. Again, if you want to pay new prices that's fine, but cheap options are common. If you're looking for winter rims that are going to live a tough life, it seems silly (to me) to overpay. I got a set of this style (1997-2001) for $40. Not each, but for four rims. I quite like them.
When buying wheels, you have to decide on the size. One size smaller, 15", is recommended for snow tires, but you can't put 16" tires on them. Of course, 15" wheels and tires cost less than 16". When you multiply the difference by four, that's significant.
I have very rusty steel wheels with snow tires on them. If I can salvage them, I'll keep using them for snow tires. I'll see how deep the rust goes.