I'm not familiar with Nikon Capture so I can't comment. Since I end up editing all my images to some degree in PhotoShop, I stay within that environment for file sorting and RAW processing.
I sort in Bridge (not great but it works for me) and do my RAW processing in Adobe Camera Raw. On some images, it's not as good as Capture One or Bibble; on others it's better. On average, it works just fine for my images which are lighted with either studio strobes or with on-camera fill flash.
I sharpen in PhotoKit Sharpener which uses a 3-stage approach: pre-sharpening of the original image out of RAW (I do no sharpening or color correction other than white balance in ACR); creative sharpening if necessary and output sharpening for the particular device you'll use to make the prints (usually either Continuous Tone or InkJet). I make final color corrections in ICorrect Professional.
Again, because I print everything out of PhotoShop, I feel that staying within that environment removes some chances for error (mine) and streamlines the process overall. If I were printing some other way, I'd probably be using a different workflow.
As for RAW processors, I've used Canon's Digital Photo Professional, Capture One and Bibble in addition to ACR and each has it's own strengths in terms of image quality. Bibble's workflow is not as intuitive for me but I'm very embedded into PhotoShop. The others each have their unique bell or whistle. But, like David, my workflow tends to be production oriented. As a dog show photographer, I'm processing hundreds of images for each show so I have to get to the proofing or printing stage as seemlessly and as efficiently as possible based on my skills and experiences. I've been a PhotoShop user for over 10 years so that's the workflow environment that works for me.
My advice, try all the demo programs and see which ones meet your specific needs. Then create a workflow that matches what you shoot and how you produce your final products.
Good luck,
Jim