There's no need to store it in the house. It would be a good idea to pick up a small trickle charger to leave hooked up to it to keep it charged. You can get one at Harbor Freight for under $10. I have 3 of them, one for TT battery and one for the ATV's batteries. They work well and don't overcharge.
Fine. As Lowell said, hook it to a trickle charger. Also check the electrolyte level at least monthly. Do not store it on a concrete floor tho. If on the floor, rest it on a sheet of plastic or scrap wood.
The battery acid attacks the concrete. Also the older "hard rubber" cases allowed the acid to pass through and the combination had a tendency to destroy the case, i.e., it developed leaks. The newer ply whatever cases do not have the problem. I have stored them on concrete with no ill effects but I still do not recommend it.
If the battery is in good condition, all you have to do is be sure its fully charged. That way it can't freeze and wont sulfate. Cold temperatures slow chemical reactions, so it's like the battery hibernates. Disconnect it. Store it in a cold place where it can't get wet. A trickle charger isn't a necessity, and if you don't use one, you won't have to concern yourself with the water level.