If anyone has the edition of 'Vivi January 2001 Magazine', Melon, Ringo and Crea are the dogs featured.
Melon is a Papillon from what I can gather otherwise known as a Buttefly Spaniel or a Squirrel Dog. Ringo is a Yorkshire Terrier and Crea is a Chihuahua whom Ayumi says she bears the most resemblance to.
In the 'Team Ayu Limited Tour Pamphlet' however, Ayumi appears to have at least three or four Chihuahuas running around behind her, whether they belong to her or the staff of Team Ayu is another question altogether.
'Ready! Go! Magazine (Volume 1)' I am not sure what the name of this dog is, but he (I merely assume) is a Wire Haired Dachshund.
I hope this is some help.... ^ ^;;;;