DUI in NJ

So I’m thinking about getting another vehicle but I don’t know what to expect when looking for insurance. My dui happened in 2020 I was convicted at the beginning of 2023. Would the insurance companies look at the date of the incident or the date of conviction? Hopefully the incident because that would show that I haven’t had any alcohol related offenses within 5.5yrs.

Also which companies would I look into? I know I’m automatically disqualified from some companies