you don't even need a big super "photoG" type tripod.
You can even get one of those $20 ones and they work fine, or even one of those ones with the flexible legs that wrap around things, they're perfect for your camera and convenient to take with you or throw into the camera bag.
You can test it out by setting your camera somewhere maybe on books or something and putting a delay or timer on the shutter so pressing the button doesn't move the camera either... Even the smallest movements can mess things up, I've learned.