That's horrible
A trap baited with cheese or chocolate is quick and painless. We caught 15 over one week with traps.
And having their heads decapitated while enjoying the fruits of pleasure that you offer is not any different.
Well on this one I think I'd prefer a swift decapitation to a more lingering death by turning my stomach to stone.
I have always found mouse traps (the Nipper type) very easy to use and very effective too. We use peanut butter as bait - it's good and sticky, so they will definitely need to get on the plinth properly to get it. Since switching to this I have never had any empty sprung traps nor any mice caught by the leg or tail, they've all been well and truly snapped and killed outright in an instant.
It's key to position the trap somewhere they'll like to be - either on a run they already use, preferably against a wall or even better in a channel, or in an inviting-looking crevice, corner or nook. In the latter case, where you are wanting them to go somewhere they don't usually go, you may have to be patient for a few nights before they decide to have a lick at it.
All of which, for me, works for mice.
Rats, however - now that's a whole different ball game. I don't have a solution that I am happy with for these fellas.