Advice Applying for job while on probation

[Gulfcoastrn21]

Does anyone have advice for best way to  seek a job (ie writing cover letter, interview) while on temporary probation? 
I reported to work after being called in under the influence of alcohol. I completed a yr of probation with no restrictions in Indiana and I also participated in the ISNAP program.I had all clean urine tests during that period. I have had no problem since and worked for 3 yrs after the incident with no issues. I have now gotten my license in my new state of residence . I disclosed my history of discipline and they have granted my license here on probation while I do two classes for remedial education . I want to be upfront and honest in seeking and applying for a job. Fed anyone have advice on this?