At its simplest, e.g. at the office, I use a $2 (oops, $3, now) Melitta single cup brewer. (1)
http://www.amazon.com/Melitta-64007B-Single-Coffee-Filter/dp...
All it requires is a cup, a number 2 filter, and ground coffee. Hot water is fairly ubiquitous, e.g. from the hot water / tea tap on the officer coffee machine. I also use a measuring cup (ok, this is getting complicated) to ensure I am not pouring in too much water, which would make a mess.
At the office, grinding is not convenient. So I bring pre-ground coffee in "flavor seal" type bag; this an impervious (plastic/foil combination, typically) bag that has a one way valve that allows for pressure from the outgassing of CO2 to escape. For example, Starbucks, Caribou, and the like all sell their pre-packaged beans in these types of bags (not that I'm recommending them especially, but most people have probably seen the packaging; in fact, I believe "flavor seal" may be a Starbucks mark).
To help keep the coffee fresh, after dispensing a dose into the filter, I press the air out of the bag (out of the top; the valve is not high enough capacity for this) while folding the top over repeatedly until I have the folds down fairly tight against the remaining grounds. Then I rubber band the folds into place. This removes most of the air, and outgassing further reduces O2 content as it sits.
The coffee stays reasonably fresh until it is consumed -- I'm also not adverse to the flavor changes as it "ages" as long as that process does not go too far. With a minimum of fuss, I get a much better cup of coffee than the office can provide.
If you grind your coffee but hate the mess of grinds getting all over the place, try placing the grinder inside a container like a Tupperware casserole pan or similar. The grounds only get as far as that container, which is easily wiped out.
I have a big old beast of an Italian espresso machine, but I found it to just be too much hassle and mess. It sits in the corner of the counter, in need of a descaling.
Cash is tight for me, right now: When I have a bit more disposable income, I'd like to try:
Aerobie Aeropress
http://www.amazon.com/AeroPress-Coffee-and-Espresso-Maker/dp...
Pump and Seal Food Saver Vacuum Sealer
http://www.pump-n-seal.com/
The latter to keep the beans fresh.
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(1) All links are free of any referral ID's or any benefit to me. Just provided FYI.