I can’t see the picture. In general, it sounds expensive to rebuild a staircase. Is it an option to move the door?

Where’s the front door? Can you show us how the front door almost touches the stairs. I can’t visualize this.

Well, sure, there is room to change the staircase. But, that would require adding more tile. You will have to find tile that matches exactly the existing floor tile, and that may be a problem. Tile goes out of style quickly, and you may not find the tile that matches anymore. In which case, you would have to re tile the entire floor. and, you will also need to re carpet the staircase. So, pretty expensive option, although easily done.

Could you widen and curve in both directions the last few steps, it would give other options than walking straight into the door.

Where would you have space to move the stairs . Anything is possible with $$$$$ A picture of the whole space with the door is what we need to see . Maybe moving the fornt door is abetter solution.