How do I change tab size in Vim?

To make the change for one session, use this command:

:set tabstop=4

To make the change permanent, add it to ~/.vimrc or ~/.vim/vimrc:

set tabstop=4

This will affect all files, not just css. To only affect css files:

autocmd Filetype css setlocal tabstop=4

as stated in Michał's answer.

:set tabstop=4
:set shiftwidth=4
:set expandtab

This will insert four spaces instead of a tab character. Spaces are a bit more “stable”, meaning that text indented with spaces will show up the same in the browser and any other application.