Here's the funny thing about photography: frequently, you can make any camera look as good or as bad as you want. The only difference between the two is knowing how to structure the shot - getting the right light, the right composition of elements in the frame, framing the composition, and using the right focal length are several factors.
I used a simple Canon point and shoot for two years and I developed an interest in photography after the first. My practice led to better shots and, after the second year, I got a Nikon DSLR; to my surprise my shots looked worse. But it was a stepping stone as I learned the new body which allowed me to have more control over my work and to be more precise.
The point is you should know what your camera is doing and choose settings appropriate to what you're shooting. That doesn't mean 'go off AUTO' since when you're learning having the camera set exposure is helpful; Aperture or Shutter priority mode are better choices but it's up to you. Just get behind the camera you have now and really focus on what makes the subject you're looking at 'pop', and try to make that the focal point of your work. You want to make the subject really shine, and learning how to do that comes from experience and developing an eye for photography, not simply buying up to a fancy new camera.