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I started simple as you would like to do and it worked out very well. I had been making beer so I already had a fermenter, a couple of carboys, a thermometer and a hydrometer. I have a small woods around my house and I saw wild grapes growing there so a few years ago (maybe 10 years) I thought I should try making some wine.
I picked what I thought would be a lot of grapes and put them right into the fermenter. I quickly realized that my "lot of grapes" was just a start on enough to do one 5 gallon batch. I went back out to the woods and picked every grape I could find, then went to a nearby wildlife area and found and abundance of wild grape vines. I finally picked enough to fill the fermenter (a 7 gallon bucket) to about the 5 gallon level. I went to the local home brew store to get some yeast and they filled me in on the yeast options (they kept it simple with a recommended yeast, EC 1118, and an alternative) and told me about the need for Kmeta (potassium metabusulfite) or, to keep it simple, campden tablets.
I crushed the grapes as well as I could in a pot and dumped them and the juice into a brew bag I had in the fermenting bucket and tied the bag shut. I crushed the camden tablets and added them. I tested the juice with the hydrometer and found that the wild grapes were much lower in sugar than what would be needed to get wine so I added sugar, a lot of sugar. After adding a couple of pounds of sugar it was getting hard to get it to dissolve so I mixed up syrup using 2 cups of sugar to 1 cup of water and added the syrup to the fermenter bringing it up to over 6 gallons before the hydrometer finally read 1.090. The next day I added the yeast and covered the fermenter with a towel and let the yeast do its work.
2 days after that the towel was soaked with purple juice and the foam was running down the sides of the bucked and all over the floor. The brew bag was inflated like a beach ball so I took the longest stirring spoon in the kitchen and used it to push the bag down. It took a lot of pushing to get all of the air (actually CO2) out of the bag and once it was pretty well deflated the must (fermented juice) level was down to a little over 5 gallons. I checked again several hours later and the bag was inflated again but it had not overflowed so I punched it down again. Did this a couple of times ever day until it stopped inflating. I also checked the SG each time and saw it moving steadily down. When the bag stopped inflating I squeezed out all the juice I could with my hands and removed it.
I siphoned the wine into a carboy and put an airlock on it and let it sit for a few weeks, The SG dropped to about 0.995 and the stayed there. Then using a siphon, I bottled it. Two weeks after that I opened the first bottle and tried it.
It was really wine. Not the best wine but my excitement over making my first wine made it seem much better than it actually was.
The process was so much fun and the reward of getting a few gallons of wine so good that I got serious about it and acquired things like a Ph meter a dozen carboys, a pump, yeast nutrient and potassium carbonate, a floor corker and tons of free advice from all of the people here at WMT.
Now I make 30 to 40 gallons each year of several different kinds of wine from the garden and the woods. You can look at the forum for Danger Daves dragon blood and Skeeter pee for some additional good ideas. I give a lot of wine to friends now and they all seem to like it, maybe because the price is $0.00 but every year I learn more and the wine gets better so I think they really do like it.
Since I had been brewing beer I didn't need to buy any equipment but, if I had nothing my total investment would have been less than $100 for a fermentation bucket, a carboy with an airlock, a hydrometer, a brew bag and some tubing for siphoning, The cost of materials for that first batch was less than $2 for yeast, a few cents for campden tablets and $5 for sugar.