Chinese Crested
The reason why they are considered hypoallergenic is that they barely have any hair at all. If you are fine with this weird looking pet, then perhaps you can consider taking care of it. There are other varieties though that are coated, but even those varieties rarely shed. They are considered as the best option among those who suffer from dog allergies. However, since they barely have hair, you need to keep them protected. They need sunscreen and moisturizer so they remain in great condition.