Kumakhov polycapillary optics is based on the effective passage of X-ray radiation through bundles of monocapillaries of various configurations. The passage of radiation takes place because of the total external reflection of X-rays from the inner capillary walls. In this work,the basic characteristics of intense quasi-parallel X-ray polycapillary microbeams from a laboratory source with microfocus X-ray tube/polycapillary cylindrical structure are investigated theoretically (analytical consideration). The data generated from theoretical estimations are compared with the experimental results. Several new generations of X-ray analytical devices like, laboratory synchrotron, fluorescent spectrometers, reflectometers/refractometers, diffractometers, X-ray microscopes and combinations of several such devices, are developed based on polycapillary optics. Besides, a number of devices can be developed for the most modern research problems such as nanomateriology, namely, X-ray nanoscanner, portable X-ray nanothickness indicator etc. X-ray tubes and the radiators, specially developed for polycapillary optics as efficiently as possible, are used in all the devices mentioned above.