something more neutral or charcoal.

A lighter shade of gray. maybe pull a tone from the fireplace. I think your sofa would look better facing the fireplace, it would make it easier to watch the television. You could add some storage beside the fireplace to hold some of the toys as well.

Looking at your rug and the slate fireplace, I would say grays or blue neutrals.

I vote for grey as it is in your fireplace slate and in the carpet. Use a really good primer on the burgundy walls or they will always have a pink cast no matter how many coats of paint you put on.

Like LB Interiors a terra cotta or "Pumpkin Spice" wall color. It seems boring beige or gray is not for you. So an "orange" of sorts will add pizzaz and complement the stone of the FP. You can even add turquoise/blue for more color. Here is Pumpkin spice with stone FP.

The stone in your fireplace is so versatile because it has so many hues to bring out (I see pale and dark grey, rust, mud brown, green, even cream). Given that you have a wall of windows, the light is going to have an effect on what colour you chose, and don't underestimate the power of that fireplace stone to change the colour you choose.

So before you do anything - first, try adding pictures to your walls which will break up the dark purple. This is just to see how much you can visually break up and use the dark accent wall as to enhance the room without overwhelming it.

Secondly, once you have seen the impact of breaking up all that dark and how the light from the windows affects the pictures, take a picture and conserve this.

Now go and test your sample colours on large square boards and place them against the wall. (See how they work and take a picture)

Finally, do the same but after having painted the wall with primer, now you will see a completely different look with the same colours. But you can start narrowing down...

This should help you hone your final colour whatever you choose.

I know beige always gets a wrap for being boring, but it is versatile. With the dark rug (which looks great), the beige couch, and the warm fireplace, I would go with something neutral and allow your accents - curtains, pillows, decor to bring in the color. That doesn't mean it has to be the typical beige. Go for something warm, it could almost be a brown color. I just wouldn't go for dark walls. You could find a rich brown you love and try just a few shades lighter to still get that warm hue without quite hitting "boring beige."

Look at the color schemes below for a little inspiration. Also, in a great looking room, you'll eventually get tired of seeing all the toys. Modular storage is a great way to get them organized and out of sight, but it's simple enough that the kids can still help put things away. Always a practical choice if your baby spends a lot of time in this room. You can swap out drawers to match your style/colors and even stack and line up modular storage for whatever space you need to fit.

"Keesee & Associates is a Custom Home Design firm in the Orlando Metro."

I agree with moving the couch parallel with the tv. It makes more sense for the room, unless you're adding more seating that will be facing that direction. A modular system could even work behind the couch, both as table and storage.

The right shade of greige from your FP stone, paired with a soft rust or terra cotta that coordinates with the FP stone as well. Here's a tutorial to help with that. https://www.houzz.com/magazine/going-greige-tips-for-choosing-this-all-around-neutral-stsetivw-vs~577375

Soft

A grey would look beautiful!