I have just updated my Delphi7Help4BDS expert to support Delphi 10.1 Berlin.
It allows to reconfigure F1 + any of the modifier keys Shift, Ctrl, Alt and Alt+Ctrl to call either a help file (you will need the old winhelp viewer that Microsoft dropped with Vista(?)), chm file or internet url. It comes preconfigured with a few example internet urls for searching with Google, Bing, the Embarcadero docwiki or MSDN.
This shows the result of Alt+F1 when the cursor was on the keyword "Integer":
To install it, get the sources from SourceForge, open the package for your Delphi version, compile and install it. You should then find a new entry in the IDE’s Help menu called “Configure Delphi7HelpForBds” which gets you a dialog where you can configure the actions for each of the key combinations.