Like many other questions of taste, “How do you like your sandwich spread?”, ”How do you like your salad dressing?“, ”Do you like butter or margarine?“ there will be great divisions and opinions on the subject of the best way to make a cup of coffee.
Water that has no noticeable flavors will definitely do you better to use for gourmet coffee. I would not go so far as to say go and buy bottled water but if your tap water has the smell of chlorine, or you have other tastes in your normal water -- these will not be masked by the coffee and in fact they may be pronounced.
So if you just have chlorine as an issue, let the water sit out for at least an afternoon or a morning -- it will make a remarkable difference to get rid of that taste in your water. If you drink coffee regularly, perhaps invest in one of those plastic water bottle devices. The bottles are about $8 and you can get a plain bottom with a spigot for about $20. Fill you tap water into the bottle, put it onto the dispensing device -- and your previously chlorinated water will be ready for you in bulk.
If you have other issues of what is in your water and needs to be removed; perhaps buy a water filter that fits onto your tap by the coffee pot or a canister water filter. They are not expensive and especially with a canister device you can just filter the water you need for your pot of coffee.
Once you have your coffee water determined and sorted, there is great debate on what device to perk it with.
I can tell you that if your coffee pot makes decent coffee from other sources of beans, it will do just as well with our Kona Comfort Organic Kona Coffee beans. If your device does not make you happy with other beans, perhaps it is time to switch to something better to honor these gourmet coffee beans?
Assuming you have a coffee pot you are happy with... If the pot has leftover aromas from past perks, they may get transferred to your new coffee experience. A clean coffee pot seems to me to produce a better valid flavor. We usually clean only the inside with 1/4 cup of bleach to a full brimming pot of water. Let it sit for an afternoon, then swish it out with plain tap water. Let it sit and dry. Letting it dry will help disperse any of the left over bleach. Then you can use it, and I bet you can taste the difference between before you cleaned and afterwards!
Some people swear by a French Press, some people love the old style stainless steel percolators that make all those pumping and whining noises. We have ourselves settled on the Bodum automatic coffee maker, which is similar to the old restaurant style percolators of the 70’s where one glass pot with water was attached to a second pot that fit snugly. The water heats from the bottom, forms pressure, goes to the top where the coffee is on a mesh, flows down over the coffee and settles back into the bottom glass. Our Bodum is similar, just you plug it in and it keeps the coffee warmed up after perked.
We have had great experiences with the Bodum, and the warming unit turns itself off before the coffee is burned, which many automatic coffee pots will not do.
Preferably, drink our gourmet organic coffee as it has first been perked. Turn off the warming element. If you have coffee left over, try a short re-heat in the microwave.
There is just not much you can do to resurrect old coffee, I’d recommend just making another pot if the coffee sits for more than a hour without being drunk -- we don’t often have that issue and perhaps you won’t either!
Here is a picture of our Bodum....

It was not easy to find new units when I recently looked on-line, they may be discontinuing it. It is hard to clean and if you clean it too much it seems to ruin the sensors, we broke one that way after about a year. But we now just clean the inside and it has lasted us (probably going on three years).. It puts on quite a show when it builds up pressure and pumps the water up and back down -- and it is fast.
This is a stovetop version (about $70 from Amazon.com)...

Here is a link you can find it for sale:
Bodum Santos Stovetop Glass Vacuum 34-Ounce Coffee Maker" target="_blank"><<CLICK>>