What is the difference between the both,which one would you recommend and which one do you use?
I would recommend coinbase, because it's better than the other. I've been using it those days that I am busy with my trading and I never encountered any problems with their wallet. Everything went out smooth and I certainly proved to everyone else that their security is safer than those I don't experienced. With regards to mycellium, I never used that one since I got into crypto that's why I can't provide any inputs about their services.