Hello MacPlus1987,
If you are interested in cord cutting and using an iPad as your alternative television, I recommend using the existing apps and services available for the iPad, rather than attempting to connect external devices such as the Mohu Leaf or Roku Stick, as those devices are designed to interface with actual television sets.
Presently, there are a robust number of services that provide content for the iPad, including Apple's own iTunes Store, which offers television shows within 24 hours of their live airing, movies, music, and podcasts. If you want other options, you may also consider the following apps available in the app store
1) Amazon Prime Video
https://itunes.apple.com/us/app/amazon-prime-video/id545519333?mt=8
2) Sling TV
https://itunes.apple.com/us/app/sling-tv-live-and-on-demand/id945077360?mt=8
3) Netflix
https://itunes.apple.com/us/app/netflix/id363590051?mt=8
4) Hulu
https://itunes.apple.com/us/app/hulu-stream-movies-watch-latest/id376510438?mt=8
In particular, Sling TV offers what is known as a "Skinny Bundle" of cable channels that may be live streamed to a supported device such as an iPad or the Apple TV. Hulu offers network television content, but like the iTunes Store, it is available within 24 hours of the live airing. Netflix offers original content, and a robust back-catalog of older content, including complete runs of popular, older series, such as How I Met Your Mother, and previous seasons of shows that are currently airing such as Gotham, Arrow and The Flash, as well as a mix of old and recent films. Amazon Prime Video largely offers a similar content catalog as Netflix, but with original content from Amazon studios.
My personal preference is to use Hulu for network television content, Netflix for its own original content, and the iTunes store for recent films and shows that are not offered by Hulu and Netflix.
Best of luck to you