As a fervent photographer of my dog, Skitters, I was interested to stumble across the article How to take amazing photos of your dog the other day. It covers both recommended equipment, and a selection of shots to try. Some of these I've got examples of amongst my 305 Skitters photos. Others I have yet to try. For my own reference I thought I'd list the recommended positions, and post example Skitters photos where I have them. All of them are useful and good techniques for getting a more unusual shot of your 4 legged friend.
Position yourself low
Fill the frame by getting closer
Use a wide aperture
Take lots of shots
Forget standard camera-holding techniques
I need to work on this one!