Okay hold up.
Here's the box -------> ___[ ]___
Here's your thinking ------------> ___[x]___
Here is the Becker, who's logo looks like a box, but has nothing to do with "the box" ----------> [b]
Here's where your thinking needs to be in relation to the box ----------> _____[ ]______x_______
No offense intended, but this is such an obvious line of thinking. I want to get the word out to dog owners, so I'm going to go where dog owners go, and do what?
A brochure?
Co'mon - that's so 1990.
If I were selling insurance, I'd leave a brochure. If I were a pet sitter, I'd leave a brochure and a card. If I were a rep for a company selling Neuticals, I'd leave a brochure and probably an anatomical diagram.
You're a PHOTOGRAPHER. What do you make?
Let's go another direction with this. Let's step out of our shoes as a peddler of goods looking for customers and step into the shoes of those who's help you need to succeed. If I own a vet clinic, a grooming spa, you name it, what do my costs look like? They're probably HUGE in comparison to what each client is paying. That counter space costs me a lot of money, and now you're going to show up and expect that because you paid me a few hundred dollars in services I rendered that now entitles you to use my counter space? For your marketing? That's my counter. I pay for it. I gave you an honest service which you agreed to pay for. I don't owe you any counter space in the deal. If you show up wanting to use MY counter space to peddle YOUR goods, you're not doing me any favors.
Maybe I'd just be a stingey dog groomer and everyone else would be nicer, I dunno.
Now, you do what for a living? And how could that BENEFIT the groomer / vet / etc? And serve as a big advertisement at the same time?
Have you ever looked at the wal-mart - flea market - generic art work on the walls in your vet's office?
I would have absolutely no problem paying for a large print and frame or a canvas, delivered with a wall hanging kit and a hammer swinging from my waist belt if they'd allow me to throw that other thing in the trash and hang up something a bit more interesting. Hey, maybe the vet even has a cute schnauzer at home. "You bet sir, let's set up a shoot! That'll be great! We'll have some fun and pin up the best picture you've ever seen of him, right over here in your waiting room". Of course your logo and website goes on the print, and yes, you may leave a stack of biz cards over next to the Neuticals display - but hopefully your site, name, and the picture you hang up are all memorable enough that the customer won't need your card - it'll stick on it's own. Make sure they'll find you when the start to google.
Don't do what every other person has done to sell stuff in the past, and DON'T approach a business owner by telling them what THEY can do to help YOU. How you can feed off of their success and marketing. They don't want to hear that. Go find a way to directly benefit them with no strings attached - they'll love and respect you for it. And when the Neuticals sales rep starts offering a larger kick back if the doc allows him to setup a live-size 3d visual-aid, your brochures won't be the first thing going in the trash to clear some new counter space.
And I think it should be obvious, but maybe not so - you should probably practice up a bit before jumping in with both feet. Not that your work is lacking (actually I haven't looked at any of your pet work, so I have no idea, this is a general statement) - so many times I see photographers get an idea, then go running out the door with their hair on fire ready to sell sell sell sell sell without getting their ducks in a line first. Go find some willing victims / test subjects with your friends. Shoot a few of these low key. Don't try and turn your very first session into the basis of your marketing campaign, because your first few probably won't be very good. Figure out where you want to go, what kind of look you're going after - really get it figured out with some solid portfolio work, get your website all set and tuned and ready to roll - THEN go hit all the vets and groomers in town. Remember, you never get a second chance to make a first impression.
You go show them some images in your flip book that blow them away "would you like one of these hanging 40x50 on your wall?" - is going to get you a lot further in business and in a relationship then bouncing into someone's office "yea, I shoot weddings but yesterday got the idea to shoot pets also, I whipped up this here brochure last night - mind if I leave 100 of them here on your counter?" - you're not going to make many friends that way.
Again, no offense intented. It's early, I'm on my second cup of coffee, and I'm feeling a bit sarcastic this morning. Take it for what it's worth.
I've got some other ideas to directly access the high income animal owners in any area, but I'm still in process getting that rolling with myself here in my own area. Once this is setup I'll share the idea with everyone else.

ps - Phil, your idea of the book to benefit the society - I think you're on the right track there. "fo-sho!" Keep after that one!