Choose the window based primarily on readiness and any real deadline you are managing. There is little value in taking an earlier interview if the extra time would materially improve your case and personal-experience performance.
The underlying interview stages are still the same core process. This overview of case-interview round structure can help you plan backward from the date.
If the early option is specifically for first round, the McKinsey first-round guide is a useful checklist for what needs to be ready before you commit.
The one reason to favor early timing is an external constraint, such as another offer deadline or a recruiting calendar that makes later interviews risky. Otherwise, being better prepared is usually more valuable than simply being earlier.