Any tips for getting a new battery?

[RMcG]

I have a 2008 Yaris, base model hatchback. The simplest cheapest Yaris model for that year.

It looks like I need a new battery. The engine does not turn over & start when it is cold weather. I think the battery is the original factory battery, an FB Hi Dash, Furakawa Battery Company in Japan. I bought the car 10 years ago this coming June.

QUESTION(S): Does anybody have any tips about buying a new battery? Should it be a particular size or type for this Toyota vehicle?

It is uncertain the kind of operating conditions I will need, but I may need it in Montana in the winter (quite cold) and in the summer there (pretty hot, e.g., 100+ Fahrenheit) at times.

The car was in Montana for 7 years. Is it unusual for a factory car battery to last almost 10 years like this?

Thanks,

R.