First, where did this come from? I know a lot of evolutionists do not believe in eternity, but matter cannot be created or destroyed, so where did this come from?
Matter can be created --- from energy (indeed, one might think of matter as frozen energy).
Now, you might ask what was the origin of the energy. That's an interesting question. One possible answer suggested by the inflationary hypothesis is that the net energy of the universe is zero.
Next, why/how did this material spontaneously explode?
The simplest solutions to the equations that describe gravity (i.e. Einstein's equations of general relativity) require that the universe should either be expanding or shrinking. We happen to live in one which is expanding.
How did round planets form?
Further to what other people have said, it's actually part of the definition of a planet that it should have enough gravity to make itself round. By a recent resolution of the International Astronomers' Union:
The IAU therefore resolves that planets and other bodies in our Solar System, except satellites, be defined into three distinct categories in the following way:
(1) A "planet" is a celestial body that: (a) is in orbit around the Sun, (b) has sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a hydrostatic equilibrium (nearly round) shape, and (c) has cleared the neighbourhood around its orbit.
Normally when something explodes, it is not round. Rock is denser than the gases in our atmosphere, is it not? So, assuming we have an explosion with sufficient material and conditions to create round planets, wouldn't there be a gas "bubble" near the source of the explosion?
It's hard to see what sort of confusion of ideas could lead someone to ask such a question.
For now, let me point out that it was not an explosion and that it doesn't have a source.
One analogy commonly used is that of blowing up a balloon. Imagine the two-dimensional surface of the balloon as an analog to our three-dimensional space. Points on the surface of the balloon get further away from one another, but there is no point on the surface of the balloon that can be considered the center of the expansion --- or, alternatively,
any point on the surface of the balloon could be so regarded.