I have been summoned from the depths of craziness, and answer your question:
This isn't the worst "person goes through a metamorphosis, can't change back, settles on new life, and has children" story I've come to face (the worst one I read still torments me). That, however, doesn't mean I'll not try to crash this wedding. Here's the plan:
1) I find, by mere chance, a portal that throws me into the housepets! universe.
2) At the day of the wedding, probably at the Milton Manor courtyard, I'll sneak into the estate and when the guards and wolves try to apprehend me, I'll start hugging and kissing them all over their heads. This should scare them off, am I right? I am right!
3) I reach the courtyard and wait until the part in which the squirrel nun says "if anyone knows any reason for these two to not be together..." etc. Then, I will scream "OBJECTION!" and then say: "I'm offensive and I find this human! Besides, you can't marry that lil' guy until you meet his parents. It's the law! Or something...."
4) After that, I'll start throwing fish heads at everyone, which I would have acquired previously on the market, or the Bigglesworths' house.
All this will ruin the party and delay any attempt at marriage for at least six weeks, giving me time to buy yet more fish heads! Great plan, huh? HUH?!

canon

i hope the puppy is a boy

In my opinion the offspring should be named Cusky/Cuskies. As the father is a Corgi and the mother a Husky. Similar with the Liger (father lion, mother tiger) / Tigon (father tiger, mother lion).
Huggi would be great if King yould be the Husky and Bailey the Corgi.

I believe the law on the matter (at least in the real world) is that the owner of the mother is the owner of the puppies and can do with them whatever he sees fit. This includes transferring ownership to the owner of the father, giving them away, seeling them, etc.

Ditto. You might want to consider using RL (Real life). It's pretty standard.

And, Rick smacks us in the face with the flounder of "you know, the Housepets! universe is kind of creepy" again.

Poor King in the corner red as a tomato...

And, Rick smacks us in the face with the flounder of "you know, the Housepets! universe is kind of creepy" again.

Yeah I try not to think about it too hard because it creeps me out a little too much.

In that one-off story Rick wrote about one area where cats were domesticated, the King Cat demanded that his people be given respect if they were to become rodent control for the humans. Treating their offspring like a commodity isn't very respectful...