As a marketing guy though, I saw a few points I'll mention in case you want to implement. I'm sure the editing will improve your conversion rate:
1- Authority logos - I'm pretty sure the average renter won't recognize them. Find more recognizable logos to use, or don't use them. The whole purpose of authority logos is to leach off the goodwill people might have to brands they know and love. If they can't recognize the authority logos, that defeats the point of having them.
2- I'd change from "TV Famous Insurers" to "Geiko" or whatever specific one you are talking about (lemonade uses specific names on their landing pages for a real good reason)
3- Clarify the meaning of "Free Insurance" - I'd use the Get 1 Month Give 1 Month of FREE Insurance" or simply "One Month of Free Insurance". I'd then make the text under the headline much clearer. Why you do something isn't as important as what the end user gets, avoid getting bogged down in too many details.
4- Testimonials need to look more like testimonials. Use pictures or something that shouts 'this is a testimonial'. The colored boxes look cool, but I believe design should always follow function.
5- I'd avoid mentioning the packages on the lander/home. Just mention the highlights "From as Little as $5 for insurance of up to $500,000". Moving people through the funnel before you get into details.
6- Avoid the word 'ruthlessly'.
7- I'd include a hero shot or something a little more human. The page is a little dry.
Overall though, I love the concept and will likely sign up soon (my wife generally handles that, but I'll bring it up to her) - The website is also super well done, my comments aren't trying to detract from that in any way. Just trying to give feedback to make it even better.