The last time we donned a top held up by nothing but teensy spaghetti straps, "TMI" immediately came to mind. If your tween-like shirts are offering "too much information," as well, it's time to opt for more coverage. Even if your bra is expensive and cut from a stunning shade of red fabric, don't feel compelled to expose it. Wear a strapless bra or buy a handy plastic gadget that can turn any bra into a racer-back.
Keep in mind that if you want to keep your bra under wraps, white isn't necessarily the most secretive color. A white bra is easy to spot, even under a white T-shirt. Instead, wear a nude or tan bra that closely matches your natural skin tone.