Actually they are all the same color of carpet.
Carpet two direction.
It looks like your carpet pattern would not make a difference in layout.
They are just laid with the nap facing opposite directions.
Think of it like this.
The manufacturer recommends how to orient the tiles.
Ideally you would install carpet on stairs as if the roll were rolling down the stairs.
Carpet tiles will have arrows on the back that indicate the direction of the carpet pile.
This is what i would do.
Run the carpet up from the kitchen all the way to the second floor because it is a straight line of sight.
You can really see the contrast when you compare these two pieces of carpeting side by side.
Orienting the tiles in the same direction will create a seamless look.
I bet no one will notice the pattern change.
Due to the nature of the carpet this is the direction it should be installed whether on the floor or stairs.
Then bring the entry hall stair carpet up to the landing.
Your newly cleaned carpet will look as good as new after being cleaned.
Generally seams should run in the same direction as most foot traffic.
Carpet does have a direction usually indicated on the carpet backing.
Carpet pile should run in the same direction throughout the house sweeping towards the main entrance.
To keep your carpet looking like new it should be cleaned with a carpet cleaner at least once a year.
Although your carpet cleaner looks very much like a regular hoover vacuum it uses water and a carpet cleaning solution to remove dirt and buildup from your carpet.
On stairways the pile should sweep down.