1. A method for data movement comprising: performing discovery processing for a plurality of logical devices accessible to a host, said discovery processing including: issuing a plurality of I/O operations to the plurality of logical devices; determining response times of the plurality of logical devices in response to issuing the plurality of I/O operations; and determining, in accordance with said response times, a performance classification for each of the plurality of logical devices having storage provisioned from one or more physical devices of one or more data storage systems, said performance classification for said each logical device being a performance classification of the one or more physical devices upon which data of said each logical device is stored; and performing first processing to determine whether to automatically perform a data movement optimization whereby, as a result of performing the data movement optimization, a first portion of data is automatically moved from a first of the plurality of logical devices to a second of the plurality of logical devices, wherein said first logical device has a first performance classification as determined in accordance with said response times and said second logical device has a second performance classification as determined in accordance with said response times.