Its not as simple as 4 or 6 inch cans.
The first decision is whether you want LED or incandescent. That will make a small difference in the fixture cost and a big difference in your electric bill and lamp replacement costs. LED lighting requires drivers which are kind of like the transformers in low-voltage fixtures. An integral LED fixture has the driver built-in and it will last a very long time but you then you must replace the internal driver. If you buy an LED lamp (bulb) the driver is in the base of it so it may not last very long (especially in a recessed fixture and if you bought it at a box store). At the least, buy all lamps at an electrical supply store.
LED light is different from incandescent light. 2700K LED is similar in warmth to incandescent but the shadows from LED are sharper and it bothers some people.
The second decision is the nature of the light you want in different locations. You would want to light a kitchen counter differently than a living room wall so the fixtures will be different.
A 10 ft ceiling will require a lamp (bulb) not available as an R or A type. You might need a PAR, MR, GU or the equivalent in LED.
OK, here's my opinion on fixture size: shallow 6" recessed fixtures with R lamps (what you will get if you don't specify something) are butt-ugly and belong in a 1960's basement rec room when that was the only size made. I didn't like them then.
There are some really great new recessed LED fixtures if you take the time to learn about them. Its a complicated subject and its difficult to find good information.
Q
Structural elements = sculptural. Kinda feels like our setting.
Q