I am also kind of wondering the same thing. I have used the Jaxx wallet and really enjoyed it's interface and onboard shapeshift (pretty sure Coinomi has the shapeshift feature as well though).

One thing I'm concerned about though is something I read about Jaxx having a glaring security problem that they have blatantly declined to fix. I'm about as new as you are so I don't really understand it all, but it seemed a little fishy to me. I wish I had saved the article I read so I could post it here. I'll look for it and return. In that article they seemed to be optimistic about Charlie Shrem being on the team and that he had acknowledged the security problem and might fix it. This was conjecture on the part of the article's author though.

I've also seen several people on reddit doubting Charlie Shrem's character so I'm kind of getting a bad feeling about the whole thing.

For the time being I've been using Electrum for bitcoin, but I'm still searching for a good altcoin wallet. I found your post while researching coinomi :) Maybe we can help one another!

I think I'm leaning toward coinomi at this point though.

Best of luck!