breadwallet reports balance in bits as a default, but you can change that in the app's settings. BTW, there a
breadwallet thread on the forums...
True. I would argue that the best unit of measurement for a Bitcoin wallet is mBTC, since 1mBTC is a similar price to a euro, dollar or pound (about $1.20 at the current rate), so its units are most convenient. Still, I do it in BTC because when you have to pay, sites usually ask you as an amount of Bitcoin, and one slight conversion mistake could well be disastrous, especially if you pay a lot.