Any good suggestions?
It would be helpful if you tell us your background, e.g. are you already familiar with basics of general relativity.
Yes, I have studied some physics courses related to relativity and is studying a course related to stellar evolution and relativity.
Some suggestions, in increasing order for level,
Exploring Black Holes: An Introduction to General Relativity, by Edwin Taylor and John Wheeler,
Gravity: An Introduction to Einstein's General Relativity, by James Hartle,
Black Holes: An Introduction, by Derek Raine and Edwin Thomas,
I'm not sure what you mean by "black hole physics," so I'm not sure if my suggestions are appropriate.
I also like the thin (!) book "Black Holes: An Introduction" by Derek Raine and Edwin Thomas. But this book only covers Schwarzschild and a bit of Kerr black hole. It really depends on which aspects of black holes you are interested in.
Separate names with a comma.