Hey there stb655,
Thanks for visiting the Apple Support Communities. If your iPhone is booting to an Apple logo but not progressing, the steps outlined in the Apple Support article If your iPhone won't turn on or is frozen - Apple Support are designed to help. Specifically, take a look at the "If your iPhone turns on but gets stuck during start up" section of the article, which directly addresses your issue.
If you've gone through these steps choosing the update option but updating does not resolve the issue, you will need to use the restore option.
If you receive an error that you need to update iTunes but you have, make sure your computer software is up-to-date as well. If it's not, you may not be getting the most recent version of iTunes available, but rather the most recent version available for your computer's software.
Don't hesitate to respond back if you still need help.
Have a great day!