I live in major snow country and have dedicated studded snows.
You will not need studs. Even here, almost no one uses chains anymore.
Look into snows with a little more open tread since a hill is your issue. Smoother super siped snows (Hakkas, Nokians, Nittos,etc.) are sometimes defeated with a good hill unless you've got a rolling start. That said, many high end super sipes are still excellent on all but the most gravity challenged roads(uphill). They can be pricy tho. Shop around.
Get an inexpensive set of rims and some decent snows and your summer tires, your significant other, etc. will love you. You will love yourself too on that rare snow day out in Lexington when it actually dumps.
Instead of being gripped en route to the grocery store, you'll be passing the brodozers and summer tire rolling 4x4 suvs, some already in the ditch by 8am.
As stated above, both sets last longer so the cost ratio is negligible and the safety factor and comfort is worth every penny.
And it's snowing at my place right now, jus' sayin'.