All the bedside storage boxes can be opened by a small child with a large screwdriver. Lyn Bates did an article on this for Women and Guns years ago, where she collected lock boxes, borrowed some kids, provided them with typical household tools, locked candy in the boxes and said, "go". None of the boxes survived. All were permanently damaged. The kids got all the candy.
If you're sleeping by the box, kids couldn't open it without waking you. If you're thinking of storing a gun in the box all the time, don't delude yourself that the box is kid-proof. A real safe is kid proof, until they learn metal-working. For me, that was in 8th grade, at age 11. If you have kids and guns, your kid should be a competent shooter by 8th grade, and you should be able to trust him or her not to cut open your safe. If you can't trust them that much, maybe having guns in the house is not a good idea.
You need to be sure you're fully awake before you grab your gun. For some people, the bedside table makes sense. For others, they mount the box across the room, so they can't grab it in their sleep. If you're really tired, and something tries to wake you, you can do quite a lot without really waking up. Folks who work long shifts and/or irregular hours will have stories of what they've done in their sleep. I've answered the phone and had conversations while sleeping. The phone call just blended into my dream. I had no recollection of the conversation when I awoke. It's bad enough to do that with a phone. Wouldn't want to do it with a gun.
That said, a lockbox makes a lot of sense. I always recommend one that neither requires a key nor batteries. You want a mechanical simplex lock that you can open in the dark. Place it where you'd have to be fully awake to access the gun. I wouldn't worry overly much about how to bolt it down. All it takes is a big screwdriver to open them. Secure storage happens in a real safe, not a lock box.