What is best option as a Expense Management Tool For Small Businesses?

http://ehr.a1.io/ (free openesource you must host)
http://freehr.com/ (free)
http://icehrm.com/ (openesource self hosted is free, hosted is paid)
http://www.firstreference.com/hrtrack.aspx (free with less than 11 employess)
http://www.apptivo.com/ (free or monthly)
http://www.naturalhr.com/pricing (free trail / $1.50 per employee)
http://webhr.co/pricing.php (free with limited freatures)
https://www.zoho.com/people/ (free upto 5 employees)
http://www.deskera.com/hrms (corporate level $75/

Expense Management refers to software designed to submit, process, reimburse, and track employee expenses. The software includes abilities for employees to input expenses for approval through a browser or mobile application.

Im not Sure of the Question i prefer Dreamweaver

If you'd like to better manage your expenses, take a look at these 7 handy mobile apps that help you easily track spending, mileage and more.

all advices about many circumstant in management for the best results

Certify is one of the best options.