Infuriating L-shaped room layout - please help

[TheBermudaTriangle]

O wise Mnetters, please help me because this room layout is driving me slightly insane...

Currently, the sofa is placed with its back to the radiator (purple stripe) in the room. A wall mounted TV bracket (red section) is fixed on the wall opposite. Beneath the TV is an unsightly empty/bricked up fireplace that just accumulates dust.

The things I need to fit in the room / do are:

A two-person IKEA sofa;
Two small armchairs (which we may replace with another two-person sofa);;
A wall-mounted TV with a shelf/stand/cabinet underneath for the Sky set-top box/Xbox etc;
Tall bookshelves (IKEA Billy corner units, but these could be split into separate freestanding units.

I would also like to somehow cover up the empty fireplace.

It seems like the only way to watch TV or for my DH to play the occasional video game using the screen is to plonk the sofa in front of the radiator (blocking out the heat and losing the view to the garden), or to somehow change the TV mounting (to be able to pull out the TV at an angle).

I’m also conscious of disturbing the flow of the room, and would ideally like some separation between the ‘living’ and ‘dining’ area (around the corner).

We will use this room for watching TV, reading and general lounging on the sofa. It is the main room we spend our day in, with the baby/toddler too.

I have absolutely no creative vision for this room, so I would be so grateful for imaginative insights/suggestions please!

No worries, thanks @greyspottedgoose!

I don't know how much your budget is for this but I would consider putting up a stud wall to separate the top and bottom half of the sitting room. Then use the bottom half as the lounge - you gain a large wall to put sofas on - and if you can, open plan the whole kitchen into the top half (the bit with the bay). Make that a kitchen/family room and put the book cases in there. Also unless lovely period offer, cover up the fire place like people have said and if your radiator really is taking up as much room as the picture suggests, replace it with a thin tall one.

Move study door to red wall to make the dining area tv area with sofas?

Swap the dining area into the area where the fireplace and radiator are. You could put a unit in there for a type of sideboard too.
then sofa and tv in the dining area and two armchairs in the bay window - great for reading!

I’d turn the bit near the French doors into a dining area. Turn the current dining area into a study including putting up a wall. Knock through from current study into living room to make a rectangle living room.

I'd move the dining room to the bit by the hallway door. You generally don't sit at a dining table all day but you do sit on your couch more- I'd want a view of the garden and all of that light from where I sit the most. Where the dining room is now I'd have the TV area and then where the doors into the garden are I'd have all the shelving etc and maybe a nice armchair so that when kids are playing outside I could sit on it with a book and cuppa and 'watch' them.

Guys, you've blown my mind a bit with the suggestion of swapping around the dining and living areas. I genuinely hadn't contemplated that, and it would be quite cosy for the living area.

I'm off to look up some measurements to see what could fit.

Something like this.

Cut off door to kitchen, have seating area by Windows with coffee table etc.

Small 2 seater and TV in "dining area

Dining table by hall way door.

Assuming it will all fit?

Thank you - yes, I think it would all fit!