Change the cam as well as the bore kit. Don't waste your time on the turbo, forces you to only run premium gas or race gas. Down sides to small engine turbos are the calculations for air and the need to change the ecu, there is a reason why the smallest car engines on petrol with turbos are the 13b rotary.
Sub 1k cc is hard to keep under boost, you run a very high risk of vapor locking the engine with the injectors required to feed the higher flow and air ratio being crammed into the engine under boost.
Just bore, cam, and port/polish the head with a aftermarket exhaust and leave it at that. Not worth the haste of a turbo