If you go the dep route, you do not need a mac.
for the mac, a mac mini is probably the best way to go. You can find you need hd/ssd space for ipad backups. You fill up the low end laptops. & you cannot add memory to the mac mini once you buy. get at least 8gig
http://www.apple.com/mac-mini/specs/
"This document offers guidance on some important considerations for getting the most out of your iOS deployment." Covers: Prepare your infrastructure. Set up devices. Configure and manage devices. Deploy apps and content. Plan for support.
https://www.apple.com/business/docs/iOS_Enterprise_Deployment_Overview.pdf
Quick overview of zero touch deplayment
http://www.apple.com/education/it/dep/
Consider DEP, Device Enrollment Program. Use VPP, Volume Purchase Program. Select an MDM, Mobile Device Management.
Overview of ipad & iphone deployment.
It's education focused.
http://www.apple.com/education/it/
Writing you own app for your business:
https://developer.apple.com/enterprise/
MDM -- Mobile Device Management
https://developer.apple.com/videos/play/wwdc2015-301/
For a comparison see this page:
http://www.enterpriseios.com/wiki/Comparison_MDM_Providers
VPP -- Volume Purchase Program
http://www.apple.com/business/vpp/
http://www.apple.com/education/it/vpp