So... Not really a cat owner, but we are fairly friendly with the local animal rescue, in particular when they need help with guinea pigs.
But today they got a big batch of kittens that they had trouble finding foster families for.
We took one in until things settle down.
This is mini Mark. They told us he's 3 weeks old. Very lively, hungry and cute!
Also a video here, although on an unrelated channel
Some get along surprisingly well. One of ours was basically raised by dogs and wags his tail violently like one. Another only met one dog and instantly went full murder mode, she's kind of a bitch in general though. Since the kitter is so young that shouldn't be an issue, it's just whether the dog thinks kitty looks like a tasty snack.
But either way best of luck to you and your little furball.