Electrical work. Pizza-making. Cutting your own bangs. Some things are better left to professionals to handle. After testing three at-home dry-cleaning kits, I’m adding dry cleaning to that list, too.

If you’ve gotten into the habit of lugging your wool knits, cashmere cardigans and silk blouses to the nearest dry cleaners, this news may transform your laundry routine — and your budget. Turns out, ...