I'm not sure whether its possible to integrate cloudinary API's into webpack or any other module bundler to automatically upload static assets to CDN and update URL's in code. If their are 2-3 files you can do that manually.
Siddarthan Sarumathi Pandian may help you in this.
Adam Bene
Founder & CTO @ Bene Studio | Join us!
Good CNDs have a lot of machines distributed, so the benefits for serving static contents: