Another interesting aspect to consider here is that quantum theory, the only other well-known theory besides general relativity which tries to explain the origin of the universe in a way tells us that singularities cannot exist (or precisely it theorizes that a subatomic particle cannot inhibit a space smaller than its wavelength) but even it would break down at the beginning of big bang and at the center of black holes.
Once you delve into the quantum theory of things, a lot of things that are currently hard to explore becomes more accessible. It is a fascinating and exciting part of physics.