Airbnb’s “live like a local” fantasy can quickly morph into a nightmare when your host’s sun-dappled apartment photos turn out to conceal a roach infestation. But hotels can be so homogeneous. Now a new crop of startups is offering a hybrid alternative: apartment hotels, lodging that promises the comfort and roominess of a homestay (minus the flaky homeowner) with the consistency and in-room amenities of a hotel.

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