That's great Chrisrolinski, congrats!
I've written a couple of things but my advice will probably be hopelessly generic. I'd say write a paragraph of each idea and keep it relatively simple (in my experience, make it as simple as you feel i should be, then go another notch, but this depends on how specialist you tend to be normally). They can always edit your work if need be but I'd guess your best bet is to read back issues of the magazine to get a feel for their tone - do they have a specific slant? In terms of pitching, try to define your target audience/readership and think about what they would want from the article, then tailor to those motivations.