The fact that over 2000 programs exist for working with various types of data, including Big Data, makes the issue of flexible storage a quintessential one. Storage can be of various types, including portals, archives, showcases, data bases of different varieties, data clouds and networks. They can have synchronous or asynchronous computer connections. Because the type of data is frequently unknown a priori, there is a necessity for a highly flexible storage system, which would allow to easily switch between various sources and systems. Combining the concept of virtual personal supercomputer with the classification of Big Data that accounts for different storage schemes would solve this issue.