If you're getting into the X-Men series, I'd recommend starting with the release order. It gives you a sense of how the films evolved over time and you'll appreciate the introductions of characters like Wolverine and Professor X as they were originally presented.
After the first few, you might want to mix in the chronological order just to see how the timeline shifts, especially with films like "X-Men: First Class" and "X-Men: Days of Future Past," which really play with timelines and alternate realities.
Also, don't miss "Logan", it's a fantastic end to Wolverine's journey and stands out as one of the best superhero films out there! Are you familiar with the characters already, or is this a fresh start for you?