The phrase "familiarise myself" is correct and usable in written English.
You could use it in a sentence like: "I have been trying to familiarise myself with the new software to make the transition smoother."
I familiarise myself with the coffee machine while the techies make their tweaks.
Finally, I have to familiarise myself with the support available for my patient, nationally and locally.
I haven't studied the text books yet so I need to familiarise myself with the process.
As an only child I'd had little opportunity to familiarise myself with small people and their unpredictable emissions.
"Obviously there's no substitute for actually driving at a circuit but it enables me to familiarise myself with the tracks as well as work on car set-up.
But it took me an hour just to wade through the necessary paperwork, familiarise myself with the house style and learn the format of their various article templates.
I developed my skills at drafting blogs with speed and accuracy, while familiarising myself with social media.
I am on site to begin work at the Oaksmere Hotel in Brome, Suffolk with the new topographic survey, familiarising myself with the terrain.
Monday I am on site to begin work at the Oaksmere Hotel in Brome, Suffolk with the new topographic survey, familiarising myself with the terrain.
I spent my 6-week induction familiarising myself with the resources, increasing my occupational knowledge, observing others working with clients, and being observed myself.
I'd familiarised myself more and more with digital recording and electronica.
