My mother has 4. One is an angel tree. Another is for 'really good ornaments'. Another is themed, different each year and the 4th is traditional American, with ntive american ornaments, etc. These arenot live trees, Penthesilea. However they are not small, either...
It took years to accumulate the decorations. It's always best to buy after the holiday when it all goes on 50-75% off.
We have 1 tree and I make a damned production of it. I have enough ornaments for , uh, several trees. LOL. My wife says I get to do the tree. I have no idea why. I think she's afraid a guy who undecorated a tree 3 times to get it right might get critical....Plus, it took me 2 weeks to FIND the right tree. And know what? I ended up buying the first tree I saw and liked....