dependencies: packages that your project/package needs to work in production.
devDependencies: packages that your project/package needs to work while development but are not needed on production (eg: testing packages)
peerDependencies: packages that your project/package needs to work in tandem with (“colaborating” with them) or as a base, useful mainly when you are developing a plugin/component to let know with which version of the “main” package your plugin/component is supposed to work with (eg: React 16)