As Rivets said, please don't charge in the house.
Hydrogen & oxygen vent from the cells when lead acid (and I think AGM) batteries are charged. Both can cause an explosion if the gas builds up indoors. I wouldn't do it in an attached garage, either. Even if you can't see vents on the battery, they are there and open when necessary to release the gasses.
If you ever encounter a car with the battery in the trunk or cabin (like Chevy HHR), you will see a vent tube leading from a port on the battery to the outdoors. The gases released while charging are why that tube is there.
Connecting a battery to a tender in a garage is scary if it is remotely possible that any gasoline fumes are present. Sparks can happen. Turn the device off first, connect cables, then turn the device on. I still would not charge the battery unless it and charger are at least 18" above the source of the gasoline vapors and the building will be open to air exchange. (18" is vapor pooling height of gasoline, which is why electrical codes mandate no receptacles or switches are below 18" in a garage.)
Your family's safety outweighs the inconvenience of a dead battery.
Paul
I find that to be way safety cautious and a stretch to possibly have an issue.
You have to really overcharge a battery, or have a really weak one and a higher charging rate to gas any amount relevant.
Tenders don't do this by design.
I would have no concerns with half a dozen mower batteries on tenders in my garage or shed.
They also don't spark like an old transformer charger well esp on 15+amp setting.
It's possible but actually hard to get a battery tender to even spark on connection. It's a little more likely to spark very slightly on disconnection of it's so plugged into outlet but still not a concern to me.
I have exploded batteries before.
I've also gassed a lot off of one I was using for a mobile linear inside a room with charger hooked to it probably at 10-12 amps and the battery likely has a bad cell that caused more gassing under load which the 6 pill linear drew a lot of amps.
The one that blew the top off was a 6 volt that was being jump started with a 12 volt for an extended time.
It was certainly from the hydrogen gas coming out the vents and the large sparks when the jumper cable sparked.
No fire or flames or spreading etc. Just one blast from the hyd build up and plastic chunks flying up.
Very unlikely from a tender .