This is very helpful!

and all front legs of sofa (and chairs) should sit on the carpet.

Plenty of people live with a similar setup and it really isn't an issue to worry about. I also had a corner fireplace in my previous house and had the same rug setup. It is what it is!

How much more room do you have to shift the furniture towards where you stood to take the photo?

I'm not able to move the furniture towards me. The kitchen is bebehind me and sun room to the left. I have had this setup for awhile and it's bothering me now

Rugs on angles can only work if the room is wide enough to accommodate the rug length.

If the issue is that rugs are sold in standard sizes, none of which really fit your situation, the answer is to go to a carpet store. First look at their remnants, then their stocked rolls, then their custom order products until you find something you like as far as color and pattern. Then you can have it cut and edges bound to any size you want. Wall to wall carpeting isn't as popular as it used to be, so all retailers have become used to these types of orders. Remnants are the least expensive way to do this, but I got a special order carpet sized for my living room a couple years ago which wasn't too expensive and it has been exceptionally durable.