I live near Austin and have all my reloading equipment in the garage. I typically don't park cars in my 3 car garage, one bass boat, and my workshop take most of the room. The reason I mention that is that the rapid changes in weather can cause serious problems.
Worst case scenario is when a very cold air mass visits us for several days, cold soaking everything in the garage. Tools inside the tool box, guns in a safe, everything gets super chilled.
Then, overnight the weather changes and we get a warm moist flow off the Gulf, and if I open the garage door, exchanging that cold, dry air inside the garage with warm moist air, EVERYTHING sweats! Tools inside the box aren't spared and everything rusts.
So if you do move it all out there, and can't close off the space to create a controlled atmosphere room, make sure you don't open the garage door for several days after a cold snap or until everything warms back up.