Hi Nirmal,
I have found it helpful (when i started this AYP) to treat the noise (distractions) as evidence of obstructions being released,that's to say ,as symptoms, that good things are happening ,change.
So when a door slams say or external noises increase, they start diggin up the road outisde your house,and you are somewhere else rummaging depp within as you penentrate inner silence, you are then reminded .BANG,racket ,racket--ahhh good, one thinks to oneself--more release. Like if the world around you is changing then so are you internally ,and this is proof of it!
Have you ever noticed when you begin meditation,barely a few mins in,everyone around you then becomes more active? .
- the lawnmower goes on as if challenged by your inner silence.
2 little boys might be bit tricky though shanti's advice sounds pretty sound.
So in the sense the noise is symptomatic of release and can be seen also like a thought occuring during DM, and so treated as such too- another symptom of release. That might help motivate one to persevere with the practice,until honouring the habit becomes less of a chore,and just something one does.
Easier said than done, i'd agree.Although I think it gets easier once AYP seeps more into your system and one gains a reasonable handle on the core tools,especially DM which you should try not to force,resting easy just softly feeling/saying the mantra,favouring that.
So in that same vein,treating them (noise distractions) just like thoughts.
All Love,
A.