MacOS – How to move a window to another space without using the mouse

⌥ + arrow keys will let you navigate by word. As you said, ⌘ + arrow keys will move to the end/beginning of the line or document. Both of these can also be used with ⇧ to select, or the delete key. Furthermore, you can double-click to select a word and triple-click to select a paragraph — and if you double-click-drag or triple-click-drag, you can select multiple words or paragraphs.

Also useful, and perhaps familiar to you coming from Linux:

• ctrl A moves to the beginning of a paragraph
• ctrl E moves to the end of a paragraph
• fn ⌫ deletes forwards (and can be combined with ⌘ or ⌥;
  you can also use ctrlD which doesn't work with the other modifiers)
• ctrl K deletes to the end of the paragraph (kill)
• ctrl Y pastes that text back (yank)
• ctrl L scrolls so the selected text is visible
• ctrl T transposes the two characters next to the cursor
• ctrl O inserts a newline after the cursor

More interesting shortcuts and uses of the keyboard can be found here and elsewhere on the internet.

You can indeed use a mouse efficiently with Mission Control. Set any corner, preferably bottom, as the hot corner (System Preferences > Mission Control > Hot Corners) for Mission Control. After that, it’s just simple drag and drop, and you can switch apps and desktops in under a sec, or 2 secs with a file being dragged.