The first step is solving the white side and the first layer. That is like the 3 by 3. Then, you have to put in the edges of the second layer. Next, you have to make "bunny ears" which are 2 edges and a corner. (do that on every side) Next, finish the first half of the cube. (6 sides: white, and the colors surrounding it) Then, you do the corners of the next layer. Then you make the gray star and position the edges. Next, you position the corners. Lastly, you twist the last corners.
A good speed cube and stickerless megaminx is $11.99 on Amazon. A magnetic megaminx on Amazon is $26.99. You would want a magnetic one because it moves really quickly, isn't loose and has a good feel. If you are really into cubing you could get a magnetic one but you probably shouldn't.
The circle in the middle is called the center. The edge is the triangular shaped piece. Lastly, the diamond is called a corner. There are 11 pieces to a side.
This is on the harder side of the cubes. It has twelve sides and eleven pieces per side. That is 132 pieces! It looks much harder than it actually is, but it still is hard.