Looking to stay in BTC but hedge my bets, so I'm selling off a small portion of BTC. I'm concerned, however, about losing BCC in the process.

Let's say I have 0.2 BTC in a cold storage wallet that existed before the hard fork. If I send 0.1 BTC to an exchange (e.g. Kraken), will the cold storage wallet then contain 0.1 BTC and 0.2 BCC? Or will those 0.1 BCC be lost if I do not first split them from BTC?