The key to overcoming the obstacles or difficulties you might be facing when you start talking to God is to ask God for help, and also to recognise that:
Whatever is stopping you from talking to God, is also preventing you from doing the things you want to do in other areas of your life, too.
If you have no time - I guarantee that's also what's stopping you from cooking healthy meals for yourself, going to the gym or spending more quality time with your family.
If you can't stand 'being quiet', and you feel you must have distractions - that's for sure been a big problem in many other areas of your life, and is stopping you from achieving, and being, the person you truly could be.
If you get too anxious being 'disconnected' from the phone - what else is all the time spent on the phone (or the internet, or watching TV…) taking away from you?
You get the idea.