As a web developer I hear this question frequently. I would suggest an open source approach.
Using Drupal which is a CMS or content management system, this is a pretty easy thing to do. You can create a members only account. Once you do this, setting up paid subscription services becomes pretty easy. The alternative to Drupal is wordpress. Several plugins can also accomplish paid subscription pretty easily.
Using pre-existing services like vimeo does not show commitment to your content. That just does not show you have professional content. If your using a standard service to charge for access to your content your probably under selling your services. People do not build trust with companies using standard approach solutions very easily. Content marketing requires some investment, either time, or money. 
Hope that helps.