You can sign up just to get Amazon Prime Video for just $8.99/mo or you can sign up for everything for $10.99/mo.
With the $10.99 plan, you get Unlimited Movies & TV Shows, Unlimited Music Streaming, Over a Million ebooks, Early Access to Lightning Deals(one of MY favorite perks with Prime!) and FREE same-day delivery in eligible areas. Of course, if you go ahead and pay for the annual membership, you'll save 25%, but I realize not everyone wants to plunk down $99 at one time and $10.99 for video streaming and all the extras is certainly a nice deal to me considering that Netflix is raising their fees on grandfathered plans.
I'll be honest. I have both Netflix and Amazon Prime. They offer different shows and I use them both almost equally. To me, it is worth the $8.99/mo and because I order so much from Amazon, I think having the free shipping option is also worth it at $10.99/mo or $99/year.