The more natural way to say this in Chinese would be "我有个小鼻子。"
I would have thought this would be "我的鼻子很小“...
That would be "My nose is small".
Why is there no measure word?
haha you know the measure word?yeah 我有个小鼻子，that is what we usually say
Without the "一"?
Is there any rule when can you skip 的？
Yes!! When mentioning family members & pet animals, we can skip 的 . Example can write 我爸爸 instead of 我的爸爸。
Any suggestions by native speakers please.
nope.when we need to stress "我"，we add"的"，if not we usually drop it.and "我的"sounds more official
What about after 小?