We describe a focusing bent crystal spectrometer (BCS) and a pinhole crystal spectrometer (PCS) for X-ray laser experimental study at the high power laser facility LF12# of SIOFM. As the improvement of flat crystal spectrometer, the PCS and BCS can be used as a high spectral resolution device, and to get a high quality monochromatic X-ray imaging of an extend laser-produced plasma. Numerical calculations of the BCS's configuration are presented, with focus on obtaining broader spectrum range and higher spectral resolution. And the possible applications of the crystal spectrometers are demonstrated.