How do I set up a rule to use the chimes on my dome siren?

Easy enough…
You can use Smart Lighting app from SmartThings. If you don’t have it installed go to here:

Marketplace->SmartApps(tab)->Lights & Switches->Smart Lights->select you Siran->Turn On->When->Contact Sensor->Opens->Have it turn off (optionally) When door closes.

You can also do this via CoRe community rule engine.

The code for the app is here and needs to be installed in your IDE and than you can make your own custome rules/automations dor your house.