Just some off-the-cuff thoughts.
1) Turn your cellphone to take panoramic (a.k.a. landscape) shots and when you do, enlarge them to take up the full player screen.
2) Have a channel trailer on your channel's homepage. Make it no more than two minutes long. Explain why people should like your videos and subscribe to your channel.
3) Have the banner on your channel's homepage be several photographs of your dog doing lots of different things.
4) After you've uploaded at least 100 videos, contact other pet channels and suggest doing a collaboration with them.
a) If they live nearby, meet up for a play day with your pet and theirs.
b) If they live far away, pick a SPECIFIC idea that you two film separately and can edit together with Part One on their channel and Part Two on yours.
5) Make up some one-page fliers about your channel and post them at every dog park you can find. Keep a stack of them in your car so when you travel somewhere, you can post them at the dog parks there.
6) Join the Alaskan Klee Kai Association of America and become active in their group. Help sell their merchandise at the end of your videos.
7) Join the Alaskan Klee Kai facebook group and contact their moderators on how you can promote your channel without being viewed as a spammer. Naturally be HEAVILY active on their group in a GOOD way. Don't spam them with your videos ... unless their moderators say that's okay.
8) Contact the alaskankleekai101.com and see if they'd give your channel a link on their page.
9) Get involved with the Alaskan Klee Kai National Rescue.
10) For all four of the groups above, start promoting them at the end of your videos and provide links to their websites. Trust me. They'll soon learn that you're doing so and might return the favor.
Good luck!