Here is a checklist of pages to read.
Remember that you are responsible for EVERY bullet that leaves your gun, until it comes to rest, where ever that ends up being. That is not just a moral obligation, it IS a legal liability. You will be held accountable for every bullet that leaves your gun. Make sure it gets to where you wanted it to go, without it causing you trouble.
OK, now you have completed the basic "home work",
now it is time to think about several other items
BEFORE you get a gun.
WHERE are you going to have the gun while you are home, and the little one is having fun running around the house? How do you keep the gun readily available, yet not where it can be accessed by little hands while you are busy with household chores, or you happen to take a nap? Tiny people watch a lot of TV and they learn a whole lot of BAD information. It is up to you to make sure that bad information does not cause problems for them or you.
Another thing to think about is WHERE you plan on keeping the gun when you travel. Are you going to leave it home in the safe, or are you going to bring it with you? I'll bet you are going to have it with you. Presuming that true, how do you keep it out of little hands, yet easily available? Keep in mind that little hands are constantly looking for something to do except when they nap. How do you plan on keeping the gun out of reach and awareness of those little hands? YOU must pay attention to the road, while the smaller person is free to look for something to do.