They are good breeds for people with allergies since BichON shed only shed a little and what they do shed gets caught in their undercoat rather than falling on the floor.
The Maltese is one of the oldest Toy breeds, dating back around 2,000 years. The ancient Greeks loved these cute canines so much they even built tombs for their beloved Malteses when they died. The Bichon dates back to the 14th century when French sailors brought the dogs home from Tenerife. Bichons were also favourites of French royalty – King Henry III carried his in a special basket that hung from his neck. The breed was a favourite of the Spanish royal family and is also featured in paintings by Goya. A Maltese’s coat is straight, or sometimes wavy, and thick. They don’t have an undercoat and as a result, they don’t really shed. Although their coat protects their skin they can also get sunburnt where their hair parts on their body. They are good breeds for people with allergies since BichON shed only shed a little and what they do shed gets caught in their undercoat rather than falling on the floor.
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https://blog.dogbuddy.com/dog-breeds/compare/maltese-vs-bichon-frise-whats-the-difference/