I have a long and wide entryway hallway that is intersected midway by a long narrow hallway to bedrooms. My flooring is engineered hardwood clicklock and will be floated. Wondering if it's best to run lengthways for both with a T-molding where the two hallways meet or run crossways in the long bedroom hallway to be consistent? Just worried about such a long hallway being dizzying with a cross pattern, but also how a t-molding creates a bit of an eyesore.

Using a T-molding would be correct for this application. I agree that this molding is not perfect as it leaves a bump, but it also creates an expansion gap if done correctly since floating floors are more susceptible to expansion than flooring fastened in place. The flooring does not expand lengthwise much but widthwise as the wide entry hall needs an expansion gap.