If I had to choose, I would choose DOGE, but if I had to choose between the other two, I wouldn't choose DOGE or SHIBA.
DOGE has a long and strong community, its decentralization is also greater than that of the POW cryptocurrency wallet. SHIBA is just a token in the form of ERC 20 and is increasing in value due to community FOMO and that could end soon.
As for the app, DOGE and SHIBA are just made for fun so won't get much use.
Standing between such fixed options, dogecoin will be the product that takes away more of our love and trust when at least they have made a long-term contribution to the history of crypto development, their values can also grow in some special ways while SHIBA dog is a platform that has many points of plagiarizing the value of dogecoin, it has not yet become a long-term contributing project. Of course, if there are no such fixations, your solution is my solution when ferocious dogs can always bite back at their owners.