I have found that not getting caught up in concepts (like Vipassana or Samatha) to be very useful when practicing meditation.
You say you sit and try not to accomplish anything.
This is a great place to start.
Expectations are a sure way to agitate the mind!
I find if I just use simple awareness (Sati) and stay with the breath, or with the body sensations (Vedana) once the sati increases, and try to remain equanimous (Upeka) with whatever arises (pain, pleasant sensations) then things naturally fall into place.
My concentration, mindfulness and equanimity increase without any effort, and once this happens I can turn my practice to realising the truth - impermanence, unsatisfactoriness and the impersonal nature of all phenomena (Anicca, dukkha and anatta).
I suggest you do an intensive retreat as a deep practice is all but impossible if you have a busy life full of responsibilities.
And the rest of the time treat your mind like a little puppy - once you realise you have been distracted gently pull it back to the breath.
If necessary breath harder than usual, or follow the breath in and out of the body.
As the mind gets concentrated focus on a smaller area (nostils are good).
Once you are practicing deeply you will find your whole body is constantly changing, and you can examine yourself like a scientist experimenting.
For me, as I said, this is only possible when doing intensive practice, the rest of the time I just try to be as mindful as possible and remain equanimous.
The Buddhadhamma is a real treasure, we are all so lucky