Seasonal jobs that might turn permanent - 4 months and counting

I am looking at seasonal jobs around Spokane that might lead to something longer. There are 13 people counting on me, so I am trying to be careful. I would like to avoid a gap in my résumé. Is it worth applying to several at once?

I was converted after one season because I showed up every day and volunteered for extra shifts. Managers remember that.

Keep everything in writing and save the confirmation numbers. It saved me later.