Invest in a lot of aloe.

On a serious note, for the most part, a lot of the care will be handled by the mother for the first few months. Simply give her enough space, be sure she’s comfortable, take her to regular pokémon center appointments, and follow everything your Nurse Joy tells you, and the delivery will be relatively painless. Moreover, once hatching, the pups will likely stick to their mother (and the mother will insist on this if the pups don’t), and of course, the usual feeding, grooming, and so forth will be done by Hannah.

Once the pups grow and become more independent, assuming you keep all of them, care of them will follow the same basic outline as the care you’ve given Hannah. I would simply recommend that you fireproof as much of your home as possible and keep an eye on them, as houndour pups are naturally curious, mischievous, and social—and the latter is relevant because one possible way of communicating for houndour is through their use of fire. Something will be set on fire in your home, in other words, and this will simply be a part of your life until you teach Hannah’s puppies otherwise.

If, however, you choose to give away the puppies, be sure to find a reputable shelter or breeder, or simply leave them with the pokémon center. There are quite a few shelters out there that may be either high-kill or less-than-reputable (that is, fronts for illegal pokémon fighting rings), so it’s worth it to do your research beforehand.

Best of luck and congratulations!