I wouldn't just replace the tires because it gets cold where you live. If they are old, that's a different story.
The risk to summer tires at cold temperatures is that they become brittle. If flexed when below the glass transition temperature, they will crack and need to be replaced. If the car just sits when it's cold but isn't moved until it warms up, chances are your tires are fine. The tires soften up when warmed up again.
It's best to unmount the wheels if it's going to get that cold and just leave the tires alone. It's also best to store tires with no air pressure in them. It reduces the permeation of oxygen into the rubber.
Cracks can also come from dry rot, when tires sit in dry conditions for a long time. Cracks will normally show up in the recesses or the tread or along the sidewalls near the tread. It's generally a good idea to inspect tires regularly anyway. They can also develop internally and it will be really hard to detect.
As to what tire sizes to look at, check out tires that match the same rolling diameter as the originals and match the manufacturer's recommended rim width to yours. Generally a tire width has a range of recommended wheel widths. So you may not end up with exactly the same tire dimensions as the AD07s but you'll get a tire that fits correctly.
Last edited by me73; 07-01-2019 at 08:59 AM.