Eileen especially likes to mix up how she travels around so her enemies can't second guess her. She's successful here. Her favourite form of transport is still the instant transport charm and she has got precision landing down to an art form (unlike Hanastrew who has often ended up head first in the Palace lakes).
Hanastrew prefers to use the transporter trees where you program in where you want to go. It is much slower than the instant transport charm but has no risk whatsoever of all your bits and pieces re-materializing in the wrong place. For Hanastrew, that means a great deal.
The Queen uses both of the above spells but, when she wants to arrive with style she will use her horses and carriages. She does believe in the look of the thing.