You can't keep your money in an exchange or online wallet right now and have any guarantee of safety. There isn't really going to be a fork, that's just personality politics and dick waving...but it's personality politics and dick waving that might last a few months with a pretend fork living on for a bit, so you really need to keep your money in a wallet you actually own. You control the actual keys.
Two ways you can do that - you withdraw your bitcoin, or you trade your bitcoin for fiat. Everyone is withdrawing one way or another.
Now is a good time to buy bitcoin - but only for a long term investor. A short term investor - a 'trader' - knows it's going to carry on falling in the short term, so sellers are outnumbering buyers.
You've got a reverse bubble caused not by the actual value of bitcoin, but by the ownership of private keys.