accomplishments: Brief Bullets or bulleted explanations?

 I'm looking to move to the Seattle area and get out of my current industry. I find it to explain on my resume and in a cover letter how my current skills are transferable, so my wife tried to help me. But to me, what she helped me write sounds like BS. It's all true, but it sounds like BS to me.

Pretty sure I've heard on the podcast that a resume should have a brief prose description of the actual duties of the job, followed by bulleted accomplishments.  I"ll post what I was using, followed by what my wife suggested. 

Here's what I was using:

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Employer
City of Evansville, Evansville/Vanderburgh County Central Dispatch 9-1-1
1999-Present
Communications Supervisor 

Supervise up to eight union employees; ensure adherence to SOPs; develop refresher training material; receive and prioritize emergency 911 calls, general information calls, and radio requests for police, fire and ambulance service; data entry and records maintenance.

- Spearheaded adoption of official department Twitter account
- Gave presentation on Law Enforcement Communications to the 2011 and 2012 classes of the Southwestern Indiana Law Enforcement Academy
- Developed informational brochure for printing
- Designed, deployed, and maintain department intranet
- Designed and administered initial training for intranet
- Member National Emergency Number Association (NENA)
- Designed and maintain department Internet website
- Represent department to area media, including broadcast interviews

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Here's what she helped me write today:
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Employer
City of Evansville, Evansville/Vanderburgh County Central Dispatch 9-1-1
1999-Present
Communications Supervisor
 
-Daily supervise six to eight union employees within the limitations of their contract and ensuring adherence to emergency dispatch procedures, receive and prioritize emergency calls as needed according to department policy, data entry and records maintenance, and develop and administer on-going training. Designed, deployed, and maintain department intranet to facilitate better information exchange and conducted initial training of the staff on its use.
 
-Responsible for community awareness of how Central Dispatch operates and providing other public safety information through the design, development, and maintenance of the department internet website, social media, and various media appearances. Served on the National Emergency Number Association’s (NENA) Public Education Committee, Social Media Workgroup, and the editorial advisory board for their magazines.
 
-Received Instructor Training Certification from the Center for Domestic Preparedness in Anniston, AL in 2010, and have attended other courses there. Taught Law Enforcement Communications course to the 2011 and 2012 classes of the Southwestern Indiana Law Enforcement Academy, and gave a presentation on emergency call-taking to the security department at the University of Southern Indiana in 2010.

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(My wife used this format on her resume, and has had several different interviews and job offers. But I'll bet that's less because of her resume, and more because she's awesome and has a great reputation in her field.)
 
Actually, she wanted me to write those long bullet points out in a first-person "In my daily routine, I supervise..." I put my foot down on that one.
 
Suggestions on which to use?