Where to Find and Catch Furfrou
From Pokemon Go Wiki
Furfrou are found and captured in Nest and Habitat locations.
Nests
Furfrou Nests are locations that consistently spawn Furfrou.
Habitats
Furfrou Habitats are spawn locations where Furfrou is likely to be encountered, but not guaranteed the way a Nest is.
Additional Tips and Information
Best Nests
If you know a really good nest or any of the nests above is really good, list them here: