These include clothing and shoe stores, sporting goods shops, book and music stores and other merchandise shops.
They’ll all be allowed to start offering curbside pickup as long as social distancing guidelines are still met.
Jewelry stores are allowed to open and resume business by appointment only.
Hairdressers can open and take appointments from essential workers only. There must be 15 minutes between appointments to allow for proper cleanup and no more than two appointments can be scheduled at the same time. Staff will also be wearing gloves.
Restaurants and bars were not on the list of businesses that can ease restrictions.
"And as we reopen businesses, not to forget about you’re mask wearing, you’re social distancing," Carney reminded residents.
Delaware now has 5,371 positive coronavirus cases and 187 fatalities.