Temp-to-hire openings around Dallas

A staffing agency says some roles convert to permanent after 16 weeks. There are 16 people counting on me, so I am trying to be careful. I would like to avoid a gap in my résumé. Which employers treat seasonal workers well?

Thanks for writing this out. I went through something close to it 5 months ago, and it settled down once I kept a simple log of every call and form.