For starters you don't need and transistor to make this work the max input is 20mA
which is easily handled by the Arduino digital pin to the relay you have has zero crossing built in
and is not made to do phase shifting. It's meant to be used as a switch.
If you want to try this with a bulb you'll need to make a PCB to hold the relay and some kind of case
to keep it in with the I/O line on one side and a plug on the opposite side
If you want I'll draw you something up.