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Don't worry my friend.
All faced the same situation once they arrive here.
What my BIL used to tell me is listen to a lot of news or any other programmes of your interest. you will get used to the accents.
Even if you watch the children's programmes those will help too.
Tune in to local news channels for that area's accent.
Hope this helps!
Talk slowly, only then they can understand and in their reply if you have any doubts ask 'pardon me' i couldn't understand, can you please repeat'.
Practice it no problem at all!
YOu will be surprised that still I don't understand our 'local accent' because southerners have a different accent ( like goligundu in their mouth while talking) and ask for pardon and repeat....