What are some tips for self-study of fluid mechanics?

Depends on what you intend to get out of this studying. If you want to gain some general knowledge on the subject and get a basic understanding of concepts, go on youtube and search hydrostatics, hydrodynamics (two branches of fluid mechanics) and you will find plenty of helpful videos.

If you wish to gain substantial knowledge, and understand the theory and have a usable grasp of the concepts, I have some good resources if you, or anyone, would like to read.

PS- you need to have a good mathematics background.

I can suggest you that follow the control volume approach and make the programm .The result you have got ,plot it and vary many parameter at one time.
As you get some idea about the pettern (nature)  of the curve and you .
apply your some factor to your program.
get new result find the difference? some book:  Franck  M.
White welcome to more question