So you have a water source in the basement...in the old days that was plumbing and made the house worth more.
If you have tried to get help, who was it from? Contractors are afraid of this if you do not have the money to fix it correctly.
The only way to figure that out is to hire a local engineer to come up with the solutions. They will want to dig a couple of holes and such to figure soil content and water table.
It is not a DIY project, unless you have a lot of time and the machines to do it.
3 sump pumps...do all of them work?
You will never stop the water, you can only control and divert the water.
I have seen folks put the house up on an entire new foundation to fix this...so be ready to do some cost analysis.
And change the scenery while your at it.