4th year phd in BiomedEngineering - How do I maximize my chances of getting an assistant professorship in my hometown?
Take a good, hard look at the research being done in the department, and the specialties of the professors. Are there any subfields where the department is weak? Are there cross-field collaborations that could be done, but aren't? Is there an emeritus or soon-to-be emeritus professor that will leave a gap in coverage?

What you're looking for is a niche that you can fill.