Cat 2960 is switch - you can not do any NAT here, what kind of Internet router or model (do you have control on that router to make changes) ?
You need to Plan as below :
you need to create differet VLAN for differetn segementation
what AP these are , these required to configure IP address and DHCP to get IP address from Switch or other source.
This required some planning and configuraiton required, do you have technical skills on this kit to configure ? if we guide based on the information.
May be quick way is contact local consultant who can setup for you document and hand over for you is easy.
Please choose the right path which works to you.