  To have the correct picture of a black hole as a whole it is of crucial
importance to understand its interior. The singularities that lurk inside the
horizon of the usual Kerr-Newman family of black hole solutions signal an
endpoint to the physical laws and as such should be substituted in one way or
another. A proposal that has been around for sometime, is to replace the
singular region of the spacetime by a region containing some form of matter or
false vacuum configuration that can also cohabit with the black hole interior.
Black holes without singularities are called regular black holes. In the
present work regular black hole solutions are found within general relativity
coupled to Maxwell's electromagnetism and charged matter. We show that there
are objects which correspond to regular charged black holes, whose interior
region is de Sitter, whose exterior region is Reissner-Nordstr\"om, and the
boundary between both regions is made of an electrically charged spherically
symmetric coat. There are several type of solutions: regular nonextremal black
holes with a null matter boundary, regular nonextremal black holes with a
timelike matter boundary, regular extremal black holes with a timelike matter
boundary, and regular overcharged stars with a timelike matter boundary. The
main physical and geometrical properties of such charged regular solutions are
analysed.
