- How do you keep your eyes from blinking?
It can take some time to get used to it. You could use a pencil for a while to make it less messy when you do blink, and switch to liquid when it's more comfortable.
- I'm right handed. Applying it to the right eye (the right from my point of view) is not thaaaat hard, but on the left one I don't really know in which angle I need to hold the brush, without covering my view, while still being able to reach everywhere.
I hold it at a slight up angle but with as little side angle as possible unless I completely block my view.
- How long does it usually take you to put it on?

Pencil, maybe a minute. Liquid maybe 2 minutes per eye.
Also, don't do long strokes, that will only make a small mess around each eyelash. Start by making spots between the lashes and then fill in the gaps. Think pointillism