I run a startup[1] for quality control in the craft beverage industry (coffee, beer, distilling), and we have over 7,000 full sensory reviews of the flavor profile from various brewing methods.
I would highly suggest that anyone interested in brewing better coffee at home (or in the office, etc), invest in the following:
1) freshly roasted coffee - flavor profile degradation begins around day ~10 in most 3rd wave light-medium roast coffees. I would suggest Intelligentsia coffee, Blue Bottle, Stumptown, or Counter Culture. These guys are the "big 4" and trying either single origin or blends from them will give you a better idea of what to look for in high quality beans.
2) a conical burr grinder. Do not use a spice grinder (whirly blade) which will shatter the bean causing large amounts of micro-fines and make your coffee bitter. Capresso makes an OK home grinder, or (if you have the patients for it) the Hario hand grinder (with a ceramic burr) is excellent (but takes a while.... though it can be used in situations lacking electricity). In our dataset, conical grinders increase the Perceived Quality of "3rd wave" beans by 1.4 standard deviations on average - there is almost no effect on burnt beans or lesser coffee.
3) a Chemex or French Press. These are both simple, elegant, and allow you to make a range of quantities depending on how much coffee you have and who's drinking. Both of these brew methods score .75 standard deviations higher in perceived quality than average with less experienced (in our dataset that means 'non-expert') tasters. The average perceived quality can be further improved by correct dosing and pouring methods.
4) a swan neck kettle. This is 80% of what you need to to perfect your pouring method. The rest is practice.
Finally, one of the best things that you can do is record and rank the coffees you consume. This will help you objectively remember what you liked and disliked about the product, and gain intuition on your preferences. My company's tools are built for professional tasters in quality control, but anyone serious about coffee could find suitable use for it. Gastrograph Review is available free on the Google play store here[2].
[1] www.Gastrograph.com [2] https://play.google.com/store/apps/details?id=com.gastrograp...