How to wall mount my Sony XBR900e (TV)? What to do? *SOLVED*

Be easy. It'll be my first time mounting a TV on the wall.

Facts:

- I have a "blank slate" wall. The other side is my outside wall
- power outlet is almost dead straight on the bottom of where I want my TV to be hung
- use an IPTV primarily, use the laptop occasionally using HDMI
- bought this recessed plates: https://www.amazon.ca/gp/product/B06WP2 ... UTF8&psc=1
- have a tilting mount

Problem:

The TV comes with a huge power adapter/supply: http://i.rtings.com/images/reviews/tv/s ... -large.jpg

so I don't think there's anyway I'm putting that inside the wall (I don't think the cord is that long). My IPTV adapter also have a big-ish power supply similar to this: https://www.ebay.com/itm/PKPOWER-Adapte ... 556?_ul=AR


I'm thinking of getting my power outlet moved right behind my TV - problem "sort of" solved, but where do I store my TV's power supply? Where to hang the IPTV box? I can't really fish my IPTV's power supply. My initial thought is to place a small shelf right beneath the TV, but I can't find any on the net (that way I can just let the shelf sit flush right beneath the TV and run the HDMI and power supply behind)

Ideas would be appreciated


EDIT:

Finished product attached

I bought another recessed plate outlet from Home Depot, so the recessed plates I bought will be returned