Us girls have it easy, we can get a phone with a big screen, and then just put it in our purses when we don't want to carry it. 
Honestly, I was a little worried about getting a Note3 at first because of my tiny hands, but I love it, and I can actually use it with one hand for 99.9% of things. But I get that such a large device isn't for everyone. Hopefully you find something that works for you OP; there have been a lot of helpful suggestions in this thread. Unfortunately, I don't think they will stop making large devices any time soon because of how useful they can be in so many different applications, so just stick with what you like.

Honestly, I was a little worried about getting a Note3 at first because of my tiny hands, but I love it, and I can actually use it with one hand for 99.9% of things. But I get that such a large device isn't for everyone. Hopefully you find something that works for you OP; there have been a lot of helpful suggestions in this thread. Unfortunately, I don't think they will stop making large devices any time soon because of how useful they can be in so many different applications, so just stick with what you like.