Cisco Switching/Routing :: Inter-VLAN Routing Using 877 And SG300-10 Switch

I recently set up a small photography business and am trying to get a Cisco 877 and Cisco SG300-10 switch to talk to each other.
 
What I want is for the Cisco 877 to handle the internet and the SG300-10 to handle the local network,
 
I have set up 2 vlans in trunk mode on the switch and want vlan2 to manage local traffic and vlan3 to handle the internet.
 
I have got the 877 connecting to the internet what I dont have, traffic going to vlan2 on the switch from the 877
 
Look at the running configs for the switch and the router and tell me how to get the vlan on the router to pass traffic to the switch. In a nutshell I am inserting the internet into the switch but am not sure how to progress. I have the c870-advipservicesk9 image file on the router. 

Switch Config
 
interface  gi2
description connection-to-data-vlan
exit
interface  gi3
description connection-to-internet-vlan
exit
vlan database (code )