I have, in the past, used an Autohotkey tool called Windowpad for this. Apparently this has now been replaced with a new, enhanced version called WindowPadX. Scroll down to see the readme. Full documentation is here.
This was crucial to me on multiple monitors. I loved to be able to easily switch a window between the two.
You can set hotkeys for the following (from the readme):
Possible actions to be configured on hotkeys
WPXA_MoveWindowToMonitor: Move window between screens, preserving
relative position and size.
all windows on the given Screen
windows on a specific screen.
WPXA_FillVirtualScreen: Expand the
window to fill the virtual screen (all monitors).
Maximize or restore the window.
Toogles "AlwaysOnTop" for given window
"Roll/Unroll" for given window WPXA_Move: move and resize window based
on a "pad" concept.
WPXA_TileLast2Windows: Tile active and last window
Multi-Monitor Mouse actions
WPXA_MoveMouseToMonitor: Moves mouse to center of given monitor
WPXA_ClipCursorToCurrentMonitorToggle: Toogles clipping mouse to
WPXA_ClipCursorToMonitor: Clips (Restricts) mouse to given monitor
General Mouse actions
WPXA_MouseLocator: Easy find the mouse
You can find it and other tools among a "A curated list of awesome AutoHotkey libraries, library distributions, scripts, tools and resources" here