You can install HTML CSS Support Extension.
ext install vscode-html-css
This will add Intellisense in your HTML files:

You don’t need to configure anything for local files, just close and reopen vscode after installing. For remote css files, you can add the following
"css.styleSheets": [
"https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0-alpha.6/css/bootstrap.min.css"
]
in the settings.json