Use 'get into' when describing developing a new interest that you spend time on.

Passion Development

'Get into' can express how you're progressively becoming more enthusiastic about an activity.

Growing Enthusiasm

It often refers to the physical act of entering a space like a car or building.

Use it to talk about starting a project or activity, especially one that takes commitment.

Reflects accomplishment when someone gains entry into a competitive environment.

Sometimes it humorously underlines a struggle to wear a tight or complicated outfit.

Implies the start of a challenging situation that might not be easy to resolve.