I was thinking a magnetic-levitation suspension system but I don't have the technical know-how to build that. I didn't even graduate college so I'm not really up to speed on my scientific skills. However, I suspect that the Hawking radiation from a mini-black hole would be sufficient to levitate it without a magnetic field, much like a water droplet hovers on a hot skillet due the Leidenfrost effect. But I really need to know for certain because it would be bad if the black hole got out of control. I briefly considered immersing the black hole in a super-cooled gas of weakly interacting bosons known as a Bose-Einstein condensate but decided against it for safety reasons.
StarrySky: Thank you so much for the advice. I tried it but was unable to achieve a containment field due to the Klein bottle's dual-surface nature. The black hole kept escaping from the inside to the outside. I tried securing the black hole to the Klein bottle with the two strips of unobtainium that you suggested but it turns out that unobtainium must be heated to extreme temperatures before it will work its magic. Even a fusion reactor is insufficient because all the heat will bleed off into the black hole and escape into its event horizon. I was unable to coat the unobtainium strips with magnetic monopole paint because I ran out of it recently but I will order more from Edmund Scientific on Thursday. Super conducting metallic hydrogen is only available on Jupiter as far as I know, and I can only fund a one-way journey, I don't have enough money for a return trip.