Since you're not sure of the color, you might start by kicking it around on the decorating forum. This woodworking forum leans toward advice on technique, which might be more useful when you have a clearer idea of what you want to achieve.

jon1270 is right - this forum may not be as much help as might be some others. Its also true that wood is wood, and any stain that shows the wood off will be great. Also the choice might be as much decided by your own likes and dislikes.

Having said all that, consider that red oak will naturally have a bit of a red tint to it. So you might choose to go with that, and use a stain with a similar nature so they will blend together. (Sorry, I can't offer any specific colors/names.) Alternatively, perhaps go a bit yellower with the pine, then use your decoration scheme to bring the two together. Use reds and yellows in your furnishings. Pillows, window treatments, etc.

Or, as I take a look around our living room, I see an eclectic variety of pine, cherry, ash, oak (both red & white), teak, walnut, maple, goncalo alves, hickory, myrtle, padauk. All seem to harmonize quite well.

John

Oh darn. I thought I had the answer for you until I reread and saw that your trim is pine. Well, I'll tell you what we've done on our basement remodel anyway. It still might be useful. We also get lots of southern and westerly light. We have used a mix of red and white oak and have been extremely pleased with our choice of stain/poly. We used red oak(no. 248) Varathane stain and clear satin (no.91) Varathane polyurethane. It gives a beautiful rich looking finish. Hope that helps. Even if you choose a different color, I would highly recommend that particular brand. It's worked very well for us.

It takes a rather involved recipe of different stains to get pine to look good to start---much less look like/comparable to oak. I have done a fair amount of trim on my remodeling jobs and have yet to get a good comparable color for pine to match any other wood. The reasons are due to the color, grain texture, wood density, and wood absorbtion rates of white pine. Pine is famous for staining with blotches and light/dark areas.

One way to minimize that tendency to blotch is to apply a pre conditioner---but I have had terrible results with off the shelf conditioners. I much prefer a one pound cut mixture of white(Blond) shellac as a preconditioner. That is one pound of white shellac flakes disolved in one gallon of denatured alcohol---and then set until the wax settles out---which can take a week.

So, staining and finishing pine is difficult to do and trying to match/get compatable colors adds to that.

Seems to me a faux finishing technique might be a better idea.