The others suggested broom technology and advanced taking shoes off technique.
I would like to humbly offer two additional contributions to this field.
Robot vacuums are getting cheaper and better at a surprising rate. I can track all manner of chaos and debris into my home, and my robovac keeps my floors very clean.
As an alternative, there are welcome mats (also known as doormat). As a bonus they can be configured to greet or repel visitors.
