for all white fabric shoes / shoelaces i swear by diluting bleach like 1 part bleach to 5 parts lukewarm water and sticking them in there for like an hour before putting them in the machine.
for the white part of shoes at the bottom like vans or converse using a spare toothbrush with pure whitening toothpaste is so good
i recommend big plastic ones that can go right underneath like the one linked. i also have an ikea βmalmβ type drawer for under the bed but if you ever get off the bed too quickly and hit ur legs the bruises areβ¦ something else. better for the boxes to go right underneath