Designs & Optimize landing page of premium digital channel offer

We have a website with a lot of content on movies. The site is used to inform existing clients of movies coming up on the channel. But more important, we need to catch subscribers and get them to subscribe for the digital offering (10-15 euro per month). The website get in hundreds of thousands of visitors, and we will send a lot of visitors to a specific landing page where the ON - DEMAND if offered. We are looking for someone (or more then one) to help us with getting ideas how we can make the first page more 'sticky' and 'inviting'. The current Style, colors, imagery and fonts can - NOT be changed. To accepted bidders, I can give more information such as conversion ratios, traffic sources and live examples. We want advice - preferably in designs, how we can make the first page more attractive to leave behind information, or at least connect their social media, account or leave behind an email address. We ask people who bid, to show recent designs or cases where they have attracted premium - qualitative websites for work in similar projects. How do you make the page more accessible, do a/b tests- and attract people.