Plausible deniability: Non-existent. Mine, at least. Possibly not yours.
Remus, Dora and the baby: Wouldn't be safe with us long term anyway.
Wards possibly breaking: I doubt a potential Order membership would make them more likely to try to get in. And if they want to get in, they'll get in.
The cat: Let him sulk. Grumpy cats are funny.
Dora: I doubt she'd protest, due to all the reasons outlined above.
Our lives: Let them try.
Point well made: dueling. I really need to practice.