Thanks to Trademarkia I think that I've finally pinned these Trendmasters toys down.
(Why is it so hard to find info on Trendmasters toys?!?)
I think these were made around 1993 because of Littlest Pet Shop, probably. They also remind me a bit of the Hasbro My Little Puppy/Kitty Li'l Litters. And the Jasman animal figure set from Toys 'R' Us.
Also, the Dalmatians were probably specifically chosen because they were very popular then due to the rerelease of 101 Dalmatians in theaters in 1991 and Disney "opening the vault" and putting the film on VHS in 1992.
Darling Dalmations
(Including Star Dalmatian, Chance Dalmatian, Heart Dalmatian)

There were also:
Darling Kitties
Darling Ponies
Darling Zoo Troop
Darling Sea Friends
I don't know if they were all sold as "Families" or if you could buy animals separately? (Most of the blankets I've seen say "Family" on them).
I don't know what other accessories were included as I've never seen a MOC set!
Here's a post about the sets:
http://www.kennerlittlestpetshop.com/forum/viewtopic.php?f=15&t=304This image belongs to LeahLPS:
