Moving focus between monitors works just like with one monitor. The focus will jump once you reach the "edge" of one monitor. The default binding is $mod+<arrow direction>.
For windows and workspaces, you need to define a binding in your i3 config. Note: windows are called "containers", and monitors are called "outputs".
For moving windows:
move container to output left|right|down|up|current|primary|<output>
For moving workspaces:
move workspace to output left|right|down|up|current|primary|<output>
Here's what I use in my config:
# move focused window between monitors
bindsym $mod+Shift+greater move container to output right
bindsym $mod+Shift+less move container to output left
# move focused workspace between monitors
bindsym $mod+Ctrl+greater move workspace to output right
bindsym $mod+Ctrl+less move workspace to output left
Strangely, I'd expect the $mod+Ctrl+greater to require me to hit Ctrl and Shift at the same time, since you need to press Shift to type < and >. However, pressing just mod, Ctrl, and , works, which is very nice.
Note, you can also set a keybinding to send things to a specific monitor by its name.