A person who is wearing or carrying tefilin should be shown proper respect. For example, such a person should be allowed to enter a room first, and some poskim suggest that we should stand up for one who is wearing tefilin, just as we stand up for someone who is performing a mitzvah. There is an interesting discussion in poskim about who takes precedence to enter a room, one who is wearing tefilin or one who is carrying them. The consensus is that the one wearing tefilin takes precedence, but some poskim maintain that the one carrying them comes first. Tefilin should be carried in a choshuve, respectful, manner, in the right hand of one who is right-handed, and in the left hand of one who is left-handed. There are many pious individuals who are meticulous to carry their tefilin by themselves, and not give them to someone else to carry. Certainly, the modern tefilin bags that are made to be worn in a similar manner to a school bag, and are schlepped around as if their contents were mundane items, are not a good idea; tefilin should be carried in the most dignified manner possible. Of course, all this applies only if the tefilin will still be fully protected. If the tefilin will be more protected when carried in the left hand, by someone else, or in a modern tefilin bag, then the tefilin’s protection outweighs all other considerations.