I submitted my resume and cover letter (customized) after I saw the job announcement in March. Make sure you follow every detail on how to submit the job because attention to detail is a huge component of this position. I was told in April that I was being selected for an interview and they were going to let me know the dates of the interview. By the end of May I was given the date of my interview.
First in-person interview with the new staff
Second in-person interview with the senior staff
Third and final in-person interview with the House Fiscal Advisor
They would usually take 1-2 weeks to make the final decision. They would usually interview between 8-12 candidates for 3-4 open positions. They would usually spend between 3-4 days just conducting interviews all day.