Lots of good advice already (except there are better sources for writing style advice than Strunk & White). Here's one I and my linguist wife like:

Write on paper first.

Paper is more immediate and has fewer distractions, fewer ways to go back and edit at once, and leaves a bit more time to think. It doesn't require looking at a screen, which you probably do enough of already.

Sure, typing it up is an extra step, but it can be a good editing step. Having edited (to the best of my ability) some of my wife's writings, I have been able to correctly guess when she wrote directly into the computer simply by the writing being less coherent.