You can move things at the filesystem level directly, just keep in mind you need to move 2 objects all the time: the analysis itself and the .atr file with the same name.
(first make sure you have backups and they really work!)
At the catalog level you can do copy/paste + delete.
And you know that moving an analysis you will break links: pages where the analysis was will not point to the new location, so people will not see it anymore (I guess you know but just to sure you are aware of that aspect, but probably count on that to discover if the analysis can really be deleted or was used by somebody).
It would be no fun if the name was perfectly readable
The russian characters are just represented as UTF16 hexa characters, when you see # followed by 4 chars (0-9,a-f) it's a letter.
For example one of your names has this:
#043f = п
#043b = л
#0430 = а
#043d = н
#043e = о
#0432 = в
So it's " планов " something (plans? Google Translate give me a word which could make sense ).
Can't you maybe just copy elements to the new location and then deleting the old one using cat manager or a webservice?