These books may well sometimes help you get better intuition concerning
the concepts involved in general relativity. They are more at the level
of "pillow reading" than anything else, but I have found all of them
at least interesting.
The books are listed in no particular order, but simply as I
wrote them down.
Prisons of Light: Black Holes, by Kitty Ferguson,
Cambridge Press, 1996.
Kitty is a successful professional musician, with degrees from the
Juilliard School. She is also a friend of Stephen Hawking, and this
book grew out of a science fair project jointly with her 8-year old
daughter.
Space and Time in Special Relativity,
by David Mermin, Waveland Press, 1989 [reprint of McGrawHill, 1969]
Many details of special relativity explained at a high-school level.
Flat and Curved Space-Times, by Ellis and Williams, Oxford U., 1988.
A philosophical and metaphysical description of things one ought to have asked,
with relevant mathematics as needed.
The Inflationary Universe, by Alan H. Guth; Perseus Books,
Reading, Mass., 1997.
A semi-historical account of how the ideas grew concerning the possibility
that the universe had an earlier, inflationary history, written by the
person who first published them. (Very easy reading.)