Starting with the end: yes, you should watch Traveling Daru now, as it is easily worth the eleven minutes you'll spend on it. No, it is not one of the most memorable shorts, but yes, it is heartwarming. The story is simple enough for one lacking speech until the last few seconds, but effective. The music is cliche, and does its job rather well. There is essentially only a character and a half here, and it is adorable and all that, but esentially bland. The animation grows tired after the umpteenth repetition of a cloudy sky or walking around with a picture.
With all the faults, Traveling Daru will give you that small bit of happiness to lift up your day. So, enjoy it.