Let's say I have a quantity of shares that I want to draw down a little provided the share price goes up a certain amount. I don't want to sell all of the shares, just a portion. And, I'd only like to do so at a price higher than current market. So, I'd like to tell the brokerage to place a GTC limit sell order for X shares at $Y. I understand what this is and how to do it. However, I would also like there to be something of a stop-loss order on *those particular shares* should they go up past a certain price but not quite make it to the limit price. Can this be done without babysitting the limit sell order and placing a GTC stop-loss after it goes past the lower amount? I prefer to set it and forget it...if it never goes above the stop-loss limit (and therefore the limit sell, either), I am fine to hang onto those shares. If this can be done and is a known strategy, what is the name for it?
Example
Own 1000 shares of $200 stock. Wanting to sell off 200 shares at a minimum of $210 but would like to try for $220 and will settle for $210 on the way back down if it doesn't make it there.
If it matters, brokerage is Fidelity. No need to advise on any tax issues...I'm just seeing if this even a possibility and if it has a name. I'm going to call my rep tomorrow but was hoping to have a little better understanding before I do and was further hoping someone here can point me in the right direction. Thank you for any assistance...apologies if this is Investing 101.