Cord minders and cable raceways! They make these little strip things in different colors that you can run down the wall and tuck the cords in so they dont stick out as much. You could also get a bunch of cable clips that have a sticky back too.
Inexpensive fix, get a cord cover that is paintable, paint in wall color, then cover the outlet with a painting, mirror, or some other wall hanging of choice.
Hang & paint cord covers
Cord covers are best for TVs and monitors—consider grouping all of the cords behind one thin cord cover and then paint it to match your walls so that it blends in as much as possible.
Easiest and cheapest method: I would paint it the same color as the wall (unplug first) and get some tiny little clear u-hooks to hold it in a very straight line. Then I would bundle the remaining cord, neatly and tightly, using a fastener or twist wire the same color as the wall.
Cable Sleeves can be your best friend
Cable sleeves are an excellent solution for managing and concealing multiple cords simultaneously. These sleeves are very flexible and can easily accommodate various cord sizes. Simply bundle up the cords, slip them into the sleeve, and then zip it shut.
Store Them in a Basket
This is also the perfect spot to conceal cords and wires. You can use the basket to hold the cords alone or cover the cords with another fireproof item that is safe from any sparks in case of a wire shortage. Keep it tucked away near a chair or table.
What are some renter-friendly solutions for managing cables in small spaces? Use adhesive hooks to route cables along baseboards, or attach cables to the back of furniture with Velcro strips. Utilize cable boxes or baskets to keep power strips and excess cords out of sight.
On the wall
Find small screws that match the openings on your power strip. Then, select an indistinct portion of nearby drywall and use a drill to install your screws. Slide the power strip over the screws so that it hangs on them to keep the strip off of the ground.
Install cord covers: Attach the covers to the wall using the adhesive backing or screws provided. Paint the covers: If needed, paint the cord covers the same color as your walls to make them less noticeable. Use decor: Strategically place decor items like picture frames, plants, or shelves to hide the wires.
You can simply mount cables on the surface of your wall with clips, or run them through plastic trunking that you can nail or screw to the wall (some types are even self-adhesive). It's a good idea to route them along skirting boards and around door and window frames so they won't be conspicuous.
Alternatively, you can run thin cord covers or baseboard cord protectors along your crown moulding. The visual impact is minimal, and you can paint covers to match the room.
Conceal those TV cords
One way to hide them is with a cable cable raceway. A cord or cable raceway is basically a flat PVC tube that attaches to the wall and is able to be both cut to length and painted to match your interior. The front of the "tube" clicks on and off, so it's easy to add or move cables if you need to.
A socket box over the holes will hide them nicely. Use screws or adhesive to fit this over the hole. Then it is just a matter of hiding the small section of cable running to the plug socket, using a plant or console table.
Prepare the frame by covering it in your chosen fabric, paper or paint, and cut a hole in it for the TV mount. Use picture hangers or adhesive strips if the frame is light enough to hang the frame on the wall, then attach the TV to the mount and hide the wires behind the frame. Voila!
Use zip ties or velcro to keep cords in place, out of sight. Try using electrical tape to wrap cords in a monochromatic non discreet color. Don't be afraid to layer a rug over a floor outlet, cutting a clean small hole for easy access.