SongKong can rename your files based on their metadata when matched to MusicBrainz and Discogs. In the File naming tab there is a list of existing rename masks you can use, alternatively you can create your own. You can rename your files using any metadata you wish but it is strongly recommended you use a mask that organizes songs so that songs by a particular artist and from a particular album are kept within their own folder because almost every music player and music tagger expects this. Also if a hierarchical folder structure is not used and too many files are stored in one folder disk access can become very slow
SongKong allows you to specify two masks, the Rename mask and the Compilation rename mask. Is is important to realize that not all compilations are Various Artist compilations, a single artist can also have compilation releases so this must be considered when choosing a mask.
Both compilation and non-compilations releases can be multiple disc releases, the trend is now to have an additional sub folder for each disc if the release is a multiple disc release.