For a start, I'd stick with Apophysis, because it has a large comunity, it's powerfull and most of all it's free. Ultrafractall may have some tricks that Apophysis lacks, but it's not free, and Incendia is both much harder to get good results with, and has a smaller comunity. But feel free to experiment with other software ofcourse, since I don't know anything about other types of software out there...
As for your picture, it's a fine start, but the colours are bland. If you look above the preview window, you'll see a series of buttons. One of them looks like a square with a gradient in it, going from blue to orange. If you klick it, you'll get the gradient editor. From there I'd try picking a gradient with a large colour diference and start playing with it. That way your picture will get way more colour.
Another thing you might try, though I can't predict if it'll do any good, is to go to the gradient window, then klick on the rendering tab and set the gamma way down. This'll cause most lines to disapear and some to become more powerfull. That way you can get the aetheral, wispy effect you see in some of my fractals (Queen of Shadows and Collision use this technique, and I'm rendering another one right now that takes it to the extreme).
One last trick you may try is to klick the button with the 2 triangles. This'll bring up the transform editor. From here you can edit the shape. Now you'll likely want to keep this shape, so you shouldn't mess with the triangels themselves. Instead, klick on the button labeled FX, on the upper right hand side. Then in the list below that, set the value after "linear" to 0 and the one after julia to 1. This should cause your fractal to become symetrical and a bit more wing-like. You might need to rotate the fractal though. You can do that by going to the gradient window, and klicking the camera tab, and then setting the rotation value.