The easiest way to do this is with a Custom Indicator. Let's take the specific example where we want to put a Moving Average of the Fisher Transform indicator in the same pane as the Fisher Transform. First, create a new Custom Indicator by choosing Setup: Custom Indicator. Then, type in the following syntax: MA(FISH) and click the Save button in the lower right corner of the window.
There are two ways to remove technical indicators from a chart window. The easiest way is to just select the indicator, by clicking on it or tabbing to it, and then hitting the "delete" key on your keyboard. Alternatively, you can click on the green trashcan icon 
on the charting toolbar, select the element you would like to delete from the list that presents itself, and then click "OK".
Default preferences for technical indicator in the past were limited to one set of default settings per indicator. "Setup: Preferences: Charts: Multi-pane Charts: Technical Indicators" was (and still is) the place to specify your default settings for each of the indicators you utilize. Now, the default preferences can be setup from any technical indicator preference window. Often it is desirable to have several sets of preferences per indicator, especially with some of the more complex indicators where there may be many useful combinations of settings that are used often.
To move or copy an indicator or button from one chart to another, use standard copy/paste commands. Right click the indicator or button and choose copy. Then go to another chart window, right-click in a destination pane and choose "Paste". Macintosh users will use Command-C and Command-V for copy/paste shortcuts, and Control-Click for right-clicking with a single-button mouse.