The hosted login page is meant to be used in a flow where the end-user is redirected there for authentication/authorization and then the response is handed back to the client application as part of another redirect. This centralized login approach has a lot of benefits, but implies full navigation from one place to another (similar to Google going to accounts.google.com for login purposes).
I would go with the hosted login approach unless you have very specific requirements that force you to provide embedded login experience directly in the client application.