My recommendation is that the inlet is placed next to your AVR and surge protector. It allows you to get the projector power source on the same circuit to avoid ground loops and also allows a much better surge protector than you can get with a surge protected outlet or small surge protector directly on the ceiling outlet.
The other advantage here is that you don't have to connect the projector to a new circuit.
The IEC inlet (opposite of an inlet) will provide the power TO your projector outlet. I recommend using 12ga wire on the inlet to keep the ground wire resistance to a minimum. The price difference between 14ga and 12ga electrical wire really isn't that big.
Effectively this IEC inlet to outlet scheme makes an approved in-wall extension cord. Without this many people have ground loop issues over their HDMI cables or may have issues after adding new equipment like power amplifiers (myself included before I figured out this solution). The extent of the ground loop depends on how far the circuits are apart (how much ground wire between them) but there are no guarantees unless you pay close attention or do something like the IEC solution.
Connection wise, you plug a PC power cord into the IEC inlet and plug that cord into your surge protector (or even into an outlet without a surge protector).
Midlite IEC-46W Power Inlet
The IEC inlet then connects through inwall wiring to the projector oulet.
The projector then plugs into that outlet. Really this means you are basically plugging your projector into the surge protector just like a regular TV (just via the inlet/outlet in this case).
The inlets can be found at various places for $15-$25.
I use one on the projector in my main theater room to avoid ground loops.
I also use one in the living room where all of my audio equipment for that room is in a remote closet to keep the main TV area clean and the wife happy. I also use a current sensing surge protector in the living room with the TV connected through the inlet/outlet circuit so my AVR is turned on and off by the TV. That prevents my wife from always leaving the AVR on all the time like she sometimes did before!
There are regular extension cord inlets aswell but I think the IEC versions are cleaner and PC power cords are free from my work or with new computers/printers/etc. If you don't have a similar source or collection of IEC cords already then they are almost free at goodwill (as are various switching power supplies, phone chargers, etc).
-Rich