How to avoid a strange "dzi" sound when you speak Polish.

Beginner Polish learners get sometimes confused seeing so many words with a quite strange (from foreigner’s point of view) spelling: dziękuje, dzień, dziewczyna. “Dzi”: how for God sake do I pronounce it?! These three letters are represented by one sound. Let's call it the "dzi" sound. Is it possible to avoid words with this strange “dzi” sound?

I have a bad and a good piece of news for you. The bad news: it’s almost impossible to avoid  the “dzi” sound  when you speak Polish, because many the most frequent  and useful  Polish words contain “dzi” sound. How can we talk not using words like: "thank you", "day",  "girl", "family" or "child"? I can’t imagine that. These words are so basic, that they do not have even synonyms.