As you know, the characters tend to live in different houses. However, continuity is in the window at times. This blog will list all of the character’s house that is one of the character’s common traits.
If you were paying attention, you can tell that Cuddles have been living in a tree more than living in a house. In a Jam, Hear Today, Gone Tomorrow and Autopsy Turvy (Double Whammy Part II) shows this house.
Pink TreehouseGiggles appears to live in a tree house just like Cuddles. This house appears in Helping Helps, Doggone It, Every Litter Bit Hurts, and I've Got You Under My Skin. As you noticed, Giggles’ house changes colors but I chalk that up to continuity or the bark changing colors. Of course, in the first appearance of this house, she is seen living with her mom but future episodes, she is seen living on her own. Giggles is either an adult in these episodes, her mom gone to work or she’s simply off-screen.
Generic Purple House
A Trailer and A FarmLumpy lives in a trailer in every episode. However, he also appears to live in a farm as seen in Milkin' It, Aw, Shucks!, and Peas in a Pod.
Pink Tree House
Three storied House
Pop and Cub
I think you get the point. It appears in And the Kitchen Sink, Read 'em and Weep, Easy For You to Sleigh, Snip Snip Hooray!, Doggone It, Clause For Concern, A Vicious Cycle, and Out of Sight, Out of Mime.
A generic house
Finally a house that is not a tree. Anyway, it has appeared in only Party Animal.
A Mole Hill
In episodes like Out of Sight, Out of Mime and A Sight for Sore Eyes, The Mole lives in a molehill. He is also seen living underground in Can't Stop Coffin, presumably as a part of his molehill. Of course, this makes sense as The Mole is... well, a mole.
A literal Tree House
A House with a ship on it’s branches
Lifty and Shifty
Whenever a character lives in large house/apartment, It always first appear in a episode with only the inside shown and in a few years later, you see the entire thing. Anyway, it appears in Meat Me for Lunch and Swelter Skelter
A Snow Dome
It only appears in Wipe Out!
A log-like house
Flippy lives in a green log-like house. It first appeared in Easy For You to Sleigh
An Acorn Fortress
Splendid lives in this fortress. It first appeared in It's a Snap.
An Unknown House
In Royal Flush, the inside of Lammy house is seen.