Congrats on the new grill, and welcome!
I'm 6'1'', and feel like the height of Weber products is pretty good (I cooked on a newer Performer I picked up for a friend recently, though, and it was kinda nice). If you want a quick-and-easy height adjustment, park your grill on some concrete pavers or something to boost the height... cheap and easy-- and fireproof for any embers that might fall down below. Unfortunately, lengthening the legs means the triangle won't be the right size, so that doesn't really work.
In terms of breaking it in, I would encourage you to cook whatever you like! Get a feel for things, eat some great food, impress your family and friends. I always tell people starting out on the Weber to 'let it teach you'-- think of that grill as a 60-year old sage (it's had the same design for about that long) who is going to show you all kinds of wonderful things. And as soon as you are able, do a simple roast chicken with indirect heat-- that's the thing that opens people's eyes to a world of possibilities. If you can roast a chicken (and you can!), you can cook the Thanksgiving turkey, and do pulled pork, and ribs, and beef roast, and whole fish, and potatoes, and vegetables, and tofu, and fruit, and cakes, and....