If I hold my BTC and wait until a month or so after the hard fork (if one occurs) before choosing a side, can my BTC then be transferred to the (possibly) new wallet without any loss of my current BTC?
I'm guessing that would be safer than trying to pick a side in the middle of a possible HF and then losing BTC if I pick the losing side.
EDIT: my goal is to keep all units of my BTC, not necessarily profiting from a split.
If such hard fork occurs,you should move your bitcoins to your hardware wallet before itself.If you leave it in your exchange,the exchange may postpone withdrawal and deposit for one or two days and you have to just wait till the exchange allows you to withdraw.After that,you will get your BTC and BU in equal quantity.