Late arrival at Haneda: cab or local hotel?

Headed to Japan for the first time in late 2026. Just booked my flights, and I'll be landing at Haneda at 11:45 pm.

With the taxis apparently being extortionate, am I better off finding a hotel in or around the hotel than trying to make my way into Tokyo ≈ 2:00 a.m. for a check-in that probably can't happen?

If a hotel is the way to go, any recommendations? Pod hotels are presumably the cheapest, but are they safe for luggage etc?

by Acceptable-Ad4076