The phrase "get into" can be used in a variety of ways, from describing physical entry to the act of starting a new hobby or interest. When looking for synonyms to this common phrase, there are many options available to choose from. If you're trying to describe physical entry, you may want to use phrases such as "enter", "step into", or "go in". For more metaphorical uses, other phrases such as "become involved", "take up", or "engage in" might be more appropriate. No matter what context you're using it in, there are a multitude of synonyms available to help you express yourself more effectively.