i would go with a dark color, like a walnut color. something rich and deep.
a dark purpleish room would not look good with light color floor/furniture.
Since eggplant is a dark color, I would go with a nice lighter stain such as a honey color. Good Luck!!!
I would suggest a medium-to-light stain with a greenish cast (like sage green or a greenish-yellow), which is the contrasting color to eggplant.
Use the link to the color scheme generator below for more help.
Congrats on your new home - have fun!!
Depends on what you want people to see first, the woodwork or the wall. Eyes are drawn to light colors, therefore light colored moldings tend to accent the molding to the exclusion of the wall. I usually think walls are more important than woodwork and I make the woodwork as dark or darker than the walls. A reddish color is very harmonious with purples, so I would use a dark mahogany stain, although teak would look good too.