Method 1:
Install the Sublime Text LaTeXTools package.
By default the Command Pallet -> LaTeXTools: Delete temporary tiles is mapped to Ctrl-L, backspace by default:
// super+l,backspace to remove temporary files
{ "keys": ["super+l", "backspace"],
"context": [{"key": "selector", "operator": "equal",
"operand": "text.tex.latex"}],
"command": "delete_temp_files"},
The LaTeXTools package is also documented here.
To adjust what LaTeXTools cleans up without worrying about package updates, choose Preferences -> Package Settings -> LaTeXTools -> Settings -- User and adjust the following block of code:
// ------------------------------------------------------------------
// Temporary file settings
// ------------------------------------------------------------------
// Ends of the names of temporary files to be deleted
"temp_files_exts": [
".blg",".bbl",".aux",".log",".brf",".nlo",".out",".dvi",".ps",
".lof",".toc",".fls",".fdb_latexmk",".pdfsync",".synctex.gz",
".ind",".ilg",".idx"
],
// Folders that are not traversed when deleting temp files
"temp_files_ignored_folders": [
".git", ".svn", ".hg"
],
To tie both ^b and ^l together: use the Chain of Command Package as described by https://stackoverflow.com/a/27994582, and modify the build keyboard shortcut to include delete_temp_files.
Method 2:
Install latexmk. You will want this anyway, as it runs LaTeX the required number of times, and runs biber/BibTeX as needed until it builds the pdf correctly.
Then within Sublime Text Under Tools->Build System choose New Build System and enter the following:
{
"shell_cmd": "latexmk -pdf \"$file\" && latexmk -c",
"selector": "text.tex.latex"
}
If latexmk isn't in your default path, you may need to specify the full path. The above will work on OSX and Linux. The && is a bash script directive that tell the shell to run the second command if the first command was successful. The -c runs the cleanup. Which files are cleaned up can be adjusted through the configuration file for latexmk.