The phrase "in the next place" is commonly used to introduce a new point in a discussion or argument. However, there are several other ways to express the same idea. For example, one could use "secondly," "furthermore," "additionally," or "moreover" as a transition word. Other phrases that can be used include "in addition," "next," "another important point," and "following on from this." It's important to vary the vocabulary used in writing to avoid repetition and keep the reader's attention engaged. Using synonyms for common phrases like "in the next place" can be a helpful way to do this.