Your Lovefilm account should give you access to Amazon Prime Instant Video. “The Amazon one”
Amazon now own Lovefilm, have done for about a year. Log in to Amazon or Lovefilm and it’s all the same.
Amazon is OK. Lots free but you will run out of things to watch, or at least worthwhile things. The big name latest releases are mostly pay extra for, or “to buy”. I don’t know about Netflix, but I imagine it will be similar. Some things will be available on one service and not the other, and vice versa.
We run Amazon through the Playstation 3, can do the same with Netflix. You could run it through a laptop and use your TV as a monitor if you have an upto date TV. Amazon do a stand alone box for about £70.