If both she and the kids moved out on July1, the kids did not live with you at least one half of the nights during the year and you can't claim them as dependents on any return other than Married Filing Jointly. The night of June 30 is only 182 nights which is less than half of the 365 nights in 2019.
You cannot file as Married Filing Jointly unless your wife agrees to file Married Filing Jointly.
If she will not agree to filing Married Filing Jointly, your only choice is to file Married Filing Separately and not claim the kids as dependents.
