We have trays with lights at the bottom and top of our ceiling. This pic shows the trays lit up with the original fluorescent lights, which have since been replaced with LEDs.

Center one cool light fixture at the ceiling vault. Skip the pendants, over the dining table. Lamps where appropriate on end tables at sofa, lamp on any serving piece in the dining area. There's no way to plan it, or the room, or the lighting without dimensions for the room, and furniture placed on a floor plan within that drawing WITH dimensions.

After more looking around, I am liking the idea of putting two chandeliers, one on each side of the ceiling fan. I had electrician come today, and now waiting to get his estimate. In the meanwhile, like to get opinion and hear from those who have done anything like this. See the picture of my current ceiling fan (which I am going to replace). The ceiling height is 13 feet 10 inches. The room size is 21 x 15 feet (the length of ceiling beam is 15 feet). If I decide to go with this option, I will choose a ceiling fan without lights, and hang it with 5 feet downrod. The two chandeliers will be hung lower than the fan, at a midpoint distance on each side of the fan. Will this look cluttered? (Three things hanging from 15 feet ceiling beam). What size chandeliers will look right? If I decide not to choose this option, I am going to look for a ceiling fan with brighter lights, and add floor lamps for additional lights. Thanks.

Judmen - Recessed on sloped ceilings requires a bit more work to select the correct recessed light (ceiling pitch, lumens and beam spread are some factors). Based on the hanging fixture in your picture it looks like something like this was purchased and installed from Home Depot: As wdccruise pointed out, these are designed for flat ceilings. When installed on a sloped ceiling you run into problems because the light doesn't shine down. A gimbal would allow you to do that, but there are better options. Here's a link where you can learn a bit more about recessed lighting for sloped ceilings. This is for info only, I don't think this company's solution will work for you, BUT there are LED can and canless solutions that would. http://www.cooperindustries.com/content/public/en/lighting/resources/LightingStories/The-Allslope-LED.html Aside from gimbal trims, better designed solutions are probably not stocked in your local Home Center. They can also get pricey.