One of the easiest ways to bring a new feel to your backyard is by changing up your pathways. Instead of the standard brick or stamped concrete, why not try stepping stones? You could even add natural stone and gravel paths that lead around your yard to tie it together. It's easy and costs less than other materials, while still standing out in a crowd.
If you want to take it up a notch, think about adding pavers. Pavers are great because they give the feel of natural stone, but are much easier to maintain. You can even choose a paver color to compliment your home's paint or brickwork for an extra special touch.