Good. That makes everything much simpler.
I think you are confusing the words “reactive” and “resistive”. For a purely resistive load, voltage and current are exactly in phase. It is only when you have a reactive load, like an induction motor, that you have a phase shift between voltage and current.
http://www.electropedia.org can help you with electro-technical words.
Phase is relative. There is in general no such thing as absolute phase. Therefore, you need a reference and then you measure the difference between the wave you are interested in and the reference. Because all your appliances are wired in parallel and see the same voltage - which is the same throughout your house, to within a very small amount, we normally use voltage as our reference and say that it is the current that phase shifts because of the reactive component of your load. And then we use the same voltage measurement with all the separate current measurements. It works for us in the UK where almost everyone has a single phase supply.
Most loads will reduce the voltage very slightly because the extra current they take will cause a voltage drop in the cables in your house. But because the electricity supply is generally inductive, a large capacitive load might actually increase the voltage due to the effect called “resonance”.