Strike a pose
Your pet doesn't know how to do this. It's just being itself and doing her own thing. It doesn't care about you and your plan of taking some awesome picture. Still there are some things you can do to make it easier. First of all your pet must be comfortable/relaxed around you. So you need to be patient. There will be an opportunity to take a lovely picture of your pet. Just wait and be patient. Trust me if your pet is feeling relaxed, you'll get better pictures. And please don't yell at your pets. You will only scare them and make them anxious. Remember pets don't listen, at least cats don't listen.
Make sure you have enough daylight when you take the picture. There is no better light than the sun. Only use flashlight when there is no other option. If you get dark pictures with daylight, try taking a picture with the sun in your back while the sun is shining on your pet.
Point of view
Don't be afraid to experiment. Most pictures of pets are taken from above. Try taking a picture at the same height as your pet. You'll get some very interesting pictures. There is a bigger chance that they will look straight at you, which is always nice.
Watch the mood of your pet when you take the picture. Sometimes your pet is just too excited for you take a good picture. You'll get blurry pictures, that's mainly because the shutter speed of the camera is not fast enough :-(. You could try filming your pet, so you'll get a nice action movie :-)
I hope you'll find these useful. If you have any questions, you know how to reach me!