Another Android update another exercise in rooting

4.4.3 arrived earlier this month for my Nexus 4, I’ve missed root access, but only just got around to implementing it today.
This time I didn’t want to go the windows way, so I used 3 great resources:

I’m linking this as a reference, as I’m going to have to repeat this exercise in the near future due to the imminent roll out of 4.4.4:
Android 4.4.4 is rolling out to devices; contains OpenSSL fix