Probably, "the" Chimei Museum sounds better because "Chimei" is being used as an adjective, and this is the convention for most museums e.g. the British Museum, the National Gallery.
I've corrected your texts below:
In 1., change "you" for "they", just to maintain consistency.
In 2. delete "you". something (is) worth + ing.
Appreciate items is good in this context. Good sentences.