I’m afraid you’re going to have to learn some jargon…
Digital Media systems use three components:
A Digital Media Renderer (DMR) is a component which can be sent a digital media file, and which will convert that file into audio, still or moving images. For audio or video, which involve ongoing playback, we usually say this media is ‘streamed’ to the DMR.
A Digital Media Server (DMS), is a component that stores digital media and catalogues it into a database, and allows other devices to interrogate the database, and select stored media to be sent to a DMR to be rendered.
A Digital Media Controller is a component which will interrogate the database stored on a DMS, and request the DMS to stream a media file to a DMR.
(note that the ‘components’ mentioned above can be hardware, software, or a combination of both)
These three components can be combined in various ways in a single device. For instance, an iPod provides all three components in one device, whereas a music player app on a phone may only provide a DMC and DMR, using an external DMS to store the music.
In the case of the MyCloud, it provides the DMS component, using the hard drive to store media, and Twonky media server to provide the DMS indexing, database and streaming functions.
http://community.wd.com/t5/WD-My-Cloud/FAQ-Twonky-DLNA-Media-Server-Setup-amp-Use/td-p/858810
So, in order to play music or videos from the MyCloud DMS, you will need DMC & DMR components for your tablet. These can be found in apps such as BubbleUPnP on Android. These will give a view of the media files stored on the MyCloud, and allow the user to play them, either on the DMR on the tablet, or on a remote DMR, such as a TV (in your case).
In order to show streamed video on your TV, you must have a smart TV, with wired or WiFi access to your local network. It must have a DMR facility to allow it to render media sent to it (look for ‘DLNA’ or UPnP’ in the spec or user manual). If it is a smart TV, it’s likely that it will have both DMR and DMC components built in, so you can use the built-in DMC to browse and select media to playback.
If your TV is not smart, you will need an external DMR, connected to one of the external inputs of the TV (e.g. HDMI, composite A/V or SCART). This external DMR could be something like Chromecast, or a redundant phone or tablet, or an Android media box running a DLNA/UPnP app. I’ve gone down the Android media box path, because they’re cheap (£35), run stock Android, and thus have all the Play store apps available. Smart TVs tend to be very restricted in the apps that can be loaded, and the markup of a smart TV over a dumb TV is generally much more than the £35 cost of the Android media box.
https://www.google.co.uk/chrome/devices/chromecast/
“With Chromecast, your phone is your personalised remote control. You can use it to search and browse, play, pause, rewind, control the volume and even make playlists. While casting, you’re free to use your phone for other things.”
If your tablet is an Apple, you’ll probably be looking for a DMR that supports Airplay, but I’m not very familiar with Airplay. It looks like iOS7+ supports Chromecast, too.
