The logistics of say a group of twenty people seem easier to manage than moving say a circus, and yet the history of the circus dates back to before railways. Or look at the Duke of Wellington's career - if the English could manage the logistics of an army of tens of thousands of men in Portugal then I'm sure the logistics of moving a few dozen gentry in England were not insurmountable.

Presumably many of the guests would provide their own transport, we know Bingley has his own carriage. Many of the guests would also bring servants. There were inns throughout England, JA's characters are always staying at them, so that would be where they could stay the night and the logistics of food, clean sheets, etc could be offloaded onto the innkeepers and the gentry's personal servants. Equally food supplies for the horses pulling the carriages could be brought along the way.