How to get iPhone out of recovery mode without having to reset it to factory settings?

I have an iPhone 5S that kept freezing so I turned it off. When I tried to turn it back on, it would go to the white screen with the black Apple logo but it wouldn t turn all the way on. I tried restarting it by holding the power and home buttons for a while, but that didn't work either. I plugged it into the wall and it showed the charging screen but it had the iTunes logo, so I plugged it into the computer and it says it's in recovery mode and I have to reset it. I've never backed it up so now I don't know what to do because I don't want to lose my notes, contacts, messages, and pictures because some things on my phone hold sentimental meaning to me. I've done all I could try to, so IIm going to take my phone to Verizon and Best Buy tomorrow, is there anything at all that they could do to at least get my data out somehow? Like export it and put it on a flash drive, then I could reset my phone? Please let me know because I need to use my phone but I don't want to lose everything on it.

The best answer will be to login to your apple id from a computer and go to apple discussions to answer that question. Or google apple discussion and itll have you sign in. An apple specialist will answer u

No, it's not possible. Apple prompted you to set up regular backups when you first set up the phone and you failed to do so. Now the horse has bolted from the stable and you're hoping that you can prevent it from having done so by closing the stable door…

You're about to learn the same hard lesson that everyone else does sooner or later, including me.

Never store vital data on a mobile device. Never store vital data on any device without at least one backup and preferably multiple backups at different locations.

The data on your iPhone is encrypted and when you reset the phone to restore it the encryption key changes. So even if you could get a raw data dump out of the phone it would all be useless nonsense without the unique encryption key which will no longer exist and which can't be re-created from the encrypted data.

In short: ask whoever you want, but the data is effectively lost already unless your phone was quietly backing up to your iCloud account.