Brokers will vary; exchanges vary with acceptable native order forms by type of underlying asset; but the magic words you're looking for are Bracket, Trailing Stop, and Trailing Stop Limit.
Learn the particulars of those (as presented by your broker, according to the applicable exchange rules), and the rest will be plain.
[EDIT] "Ah-HA!!" After reading Tomorton's reply below, I now understand better what the OP sought. And so, Tommorton's answer is much better.
[EDIT]² "Hah-hahhhhhh!" IB's TWS has a BasketTrader set-up that, while I don't use it, I understand it to take multiple positions and move them -- even page-wise, as per Tomorton's response below. I have no idea about other platforms, but it certainly will be a *collection* of native orders, rather than anything recognizable as native by an exchange. (And therefore, "YMMV.")