My son is on probation, setting in jail for violation(non payment) court date haven't been set for the theft by taken charge; I don't know what to do shall I let him go in with a public defender again or get a lawyer. Money is vry tight only one person working in our house.

Paid for lawyer will be better IF you can afford it. Otherwise you have no choice. Public defenders tend to be overworked with a LOT of cases.

However the public defender thing isn't a choice if the court determines you have the ability to pay. And around here, they do check to see if you are eligible before they will assign one.

Next has the PO been notified of the new charges ?

I may slightly disagree, there are some really great public defenders, and many paid attorneys may or may not be able to do much, a lot of this depends on the evidence, I mean if he robbed a priest in front of 10 nuns as witnesses while on TV. Ok not much of a chance of getting him off.
** OK over done that example a bit, but you get the idea.

So one has to look at how much evidence they have, if they have him fairly dead to right, or he has already confessed, often a public defender can work out great plea deals. Also how much was "taken" if he took a 10 dollar item, or was it a 10,000 dollar item, that makes a big difference also.

An attorney may well need 3000 to 5000 cash just to start a case and could well be 10,000 plus if there is a lot of work to it.