Yes LedzPerez that looks like the type of device you would need …
but as i have no experience in “AV Distribution” …
I would wait for other forum users to post their ideas, opinions, thoughts and advice on what you would need to purchase.
Edit: Another “option” is a Wireless Multi AV Sender / Receiver (thus avoiding cables)
Depending on house walls / stories they can be “touch’n’go” … but i would probably advise talking to experts and researching as much info as you can before you decide to purchase.
As an example of a AV / HDMI sender / reciever (not cheap … but will give the best picture quality).
http://www.envioustechnology.com.au/products/product-detail.php?ID=608