Would you move to DC early for an 8-week internship before starting a full-time job?

I recently graduated and have a full-time analyst/strategy role in Washington, DC starting in late August.

I may have an opportunity to take an 8-week corporate strategy/reporting internship in DC before my full-time role begins.

The complication is that I'd need to move much earlier than planned. I already have an apartment leased in DC, but it's currently empty and not set up yet. Moving early would mean accelerating furniture purchases, apartment setup, and other logistics. My parents think this is unnecessary stress given that I already have a full-time job secured.

Financially, the internship isn't dramatically better than what I could earn staying home and working a local part-time job.

The reason I'm considering it is that:

• I enjoy strategy and analytical work.
• I'd get professional experience instead of doing unrelated work for the summer.
• I'd have time to get comfortable living in DC before my full-time role starts.
• I like the idea of building momentum rather than waiting around until August.

On the other hand, I realize I may be undervaluing time with family, lower stress, and having a more gradual move.

For people who have already started their careers and relocated for work, would you take the internship if offered, or stay home and move to DC closer to the full-time start date?

What factors do you think I'm overestimating or underestimating?