So, you are planning to configure QoS only on the 3560 switch ?
If so, you have few options: MQC or rate-limit.
With MQC, you can use the police option within the policy-map while with rate-limit, you can place the command directly on the SVI.
They both provide the same feature and the rate-limit requires less typing:
interface vlan x
rate-limit output 1496000 93750 187500 conform-action transmit exceed-action drop
to limit the interface to 1.5Mbps out to anywhere, not just the internet.
If you want to limit just the internet but allow more bandwidth for other destination from that source, then you need a combination of MQC along with an ACL.
HTH,