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.