Tivo with streaming devices and Sling

I have a TiVo Roamio, which I really like. I am considering cutting the cord with cable; I am looking into an Amazon Fire TV or Roku TV. I plan to keep my netflix, but I am debating between Hulu and Sling TV. I like that Sling TV has the ESPN add on, but does Sling TV work with TiVo?

Any insight or advise on how to cut the cable cord is appreciated. I feel overwhelmed with the options.