How do you store an air rifle in a house?

First of all make sure it's empty and in SAFE Mode. If it's a springer and you leave it cocked the spring will loose it tension over time and not be effective. If it's a C02 then it will eventually leak and ruin the seals in the rifle. So never leave it loaded or cocked. I wipe mine down with a clean cloth. I only use Crosman pellgun oil to oil the joints. I use Cleaning pellets every 500 shots. They look like a pellet but are made out of Cotton. ( you fire them through the barrel.) You can find them on Pyramydair online. I take a soft rag and put a little Pellgun oil on it and wipe down the rifle if it's going to be stored for a long time. I have a rifle sock or rifle case that the rifle is stored in.

Never use any firearms cleaning solutions on the rifle it will eat the seals and O-Rings.

If there are children in the house put it where they can't get at it. Personally I have a rifle safe but I know most people don't have that option. Treat it like a firearm. Be safe and put a trigger lock on it.