TS, I suggest that you apply to study Masters in Software Engineering, Computer Science, etc. (whichever you interested in).

Most Univ provides GTA (graduate teaching assistant) or GRA (graduate research assistant) programme. In this programme, you will get partially sponsored study programme and work part time in the same time.

Get your Masters within 1-2 years, after that, search for a job, and then, you can get your work visas or PR later on. It's easier that way.