H5P provides a very tight integration with Moodle through H5P.com.
With H5P.com content may be created from within Moodle, you get your own H5P content repository in Moodle, and grades are stored in Moodle. H5P.com also provides analytics within Moodle so that teachers may see what the learners answered to the different questions within the H5P Content.
To get started with H5P in Moodle just go to H5P.com and start a 30-day free trial. You should make sure your Moodle admin is ready to set up the LTI integration.