I'd use my infinite resources to build an infinitely large room in which to store them that only has one exit. The exit is a magical portal which connects to a bag that I carry around (not a big one, just one that defies physics). Unfortunately for the hostage-takers that I squish into my bag, the portal is only open when the bag is open, so I just keep it closed unti I need something ... namely a nuke that only kills people, which I detonate, thereby destroying them with a nuke without the negative repercussions of residual radioactivity ... oh, and whenever I put my hand (or anything else into the bag that is biological, it gets covered by a radiation proof suit, therefore stopping gross mutations that would otherwise stop access to the awesome resources .... also, I build a machine that makes me invincible and able to change my shape, and that is how I get into the house and ram the bag onto the kidnappers).