You are running smack bang into physics/chemistry. There isn't anything you can really add to water to get rid of salt ions; at least not on a cheap large scale. And if you apply the salty water to the soil as the water evaporates the salt concentration in the soil will steadily increase harming your
land.
The two main methods are:
Reverse osmosis - requires pumps and power.
Evaporation and condensation - again, requires
energy (but this can be passive
solar)
Either will be expensive if you are planning to get large quantities for use as irrigation water, Although you might consider it as a backup for caring for specific vulnerable plants eg young
trees that are getting established. Either of these also gives you a backup for potable water for the house.
An alternative direction would be to look at doing some
earthworks on the land to trap and sink what rainwater you have, as well as looking at mulching to reduce the water needs of your plants.
What area are you talking about? What is the climate? How much rainfall do you get?