If the water is acidic you'll need an acid neutralizer.
Truly neutral ph is about 7.2 -7.4. I wouldn't worry about it though unless it's less than 6.5. Anything less than 6.5 can corrode certain metals on appliances and plumbing.
Now, an acied neutralizer will look like a water softener, sort of a large scuba tank. It will be filled with a different media though.
Normally it is a Coarsex, or Calcite media. That is a sacrificial media that will be used up as the filter works. Here's a professional tip: DO NOT GET A LARGE TANK WITH LOT'S OF MEDIA. Get an 8 inch diameter tank and only fill it about 1/3 of the way. The reason is that when these neutralizers backflush, the water pressure must be able to "lift" that bed of media, and since it's primarily a marblel-like rock, that's hard to do. Many people make the mistake of thinking that a larger tank will have greater flow capacities. That's true to a degree, but what happens is that if the water cannot lift the media during backwash, it will harden up into a solid block. Then you will have REALLY bad water pressure. Plus it won't be working, and when it comes time to replace the media, the entire unit will have to be junked because you can't break out the old stuff. Get an 8 inch by 48 inch tank, fill it to one third, and then check it about every 6 months. You can shine a light against the tank and watch the media level drop.
When it gets low, have your company (or yourself) service it. All they do is unscrew the valve and add more media. It's easier to do light service work more often, than to replace the entire system because it's solidified. Also, if it's installed by a professional company, have them REMOVE the backflush rate control washer completely. Most are factory preset for about 4 gallons per minute. Have them take it out, and use the MAX flow rate possible for backwashing. That'll help lift the bed and avoid problems.
Assuming you're on a well you might consider a chlorination system. That will kill any bacteria and remove iron (a common problem).
So the order of equipment is: come from the well into the chlorination system, then into the acid neutralizer, then into the softener to remove the hardness ( the acid neutralizer will add hardness so adjust the softener accordingly) THEN into the house. This is not as hard as it sounds. Chlorination systems should be about 650 bucks through a good dealer and simply require adding chlorox bleach maybe every couple of months, they're automatic. The acid neutrualizer should be about the same cost, and will probably be about 200 a year in maintenance, and the softener will require adding salt (the amount and price depends on the system). I'm an engineer for a water purification company, so this is kind of my area of expertise.
Good luck, hope this all helps
Anthony