Any input would be fine. I was wondering if another key signature would have made it more easy, as there is a couple of double flats.
I think this is the product of an imported midi file.
the key is E (major)
you don't tell us what program you use.
if you don't have the utility for editing enharmonic spelling as "favor sharps", you might just save the right hand (export as midi file and import again pre selecting the key: E
or the option "select key signature of the file"
the double flats will be exchanged as g# (bb to a, db to c# and so on)
you may change the enharmonics also by hand, this will be a good exercise.
You may be combining two questions here. If you want the key of E Maj, then stay with the signature you have. If you change the signature, then you'll be shifting the entire piece into a new key, with perhaps a different feeling or different overtone resonances dominating.
As to notatation, a reasonably experienced musician should be fine with, e.g., your notation of Gnat / Ab . I've seen some scores where that would be notated F## / G# (where the G# is in the key signature). For your Bbb measures, I would recommend B , A, Bb (the first B natural is in the key signature)
There's nothing wrong with notating Db if that fits the chord progression intended, or moving it to a C# (in key signature) to make it easier on the performer. Dealer's choice.
The key signature's good. The lower stave is good. The upper stave has decided to use flats in a '4 sharps' environment! Find alternative spellings that fit in better.