You get much more control using Curves, rather than Brightness/Contrast.
The advice I have gotten is use it on an adjustment layer. It's "non-destructive", won't permanently alter your picture and you can return to the picture for further adjustments or delete the layer later on.
When using the brightness/contrast setting, try the Auto button first, and if you are not satisfied with that, set brightness to 100, contrast to 50 and adjust from there.
Leave the "Legacy" box unchecked. It mimics how the older versions of b/c use to behave, causing clipping.
Yes, there are better ways, like curves,but I'm assuming you want to work with b/c for now.
Just to toss a bit of out-of-box thinking into the mix... I find I do a lot more of that sort of thing now in Camera Raw before the image is opened into Photoshop.
Then I prefer Curves for fine tuning.