Single Line Python Program
The best way I have found is to write a single line program that downloads and runs the official get-pip script. See below for the code.
The official docs recommend using curl to download the get-pip script, but since I work on windows and don't have curl installed I prefer using python itself to download and run the script.
Here is the single line program that can be run via the command line using Python 3:
python -c "import urllib.request; exec(urllib.request.urlopen('https://bootstrap.pypa.io/get-pip.py').read())"
This line gets the official "get-pip.py" script as per the installation notes and executes the script with the "exec" command.
For Python2 you would replace "urllib.request" with "urllib2":
python -c "import urllib2; exec(urllib2.urlopen('https://bootstrap.pypa.io/get-pip.py').read())"
Precautions
It's worth noting that running any python script blindly is inherently dangerous. For this reason, the official instructions recommend downloading the script and inspecting it before running.
That said, many people don't actually inspect the code and just run it. This one-line program makes that easier.