does anyone know how I can extract data from my phone.

No there isn't. Once the phone is disabled, there is no recovering the data. The fact that you have not backed up the phone or imported photos to the computer or iCloud at any time would make it seem they are not important data to you. The only way for you to get the phone back into a usable state, you need to restore it, which will wipe all of the data. From there, take the time to backup the phone on a regular basis, and import photos to the computer and/or iCloud for safe keeping. Especially if you take some important photos. Do it is as soon as possible.

If the phone is stuck with an Apple logo it is too late to get data off it. The time to have a backup strategy is before you need it. Once the phone is disabled it is too late. So there's a 99% probability that there is no recoverable data on the phone. A data recovery service may be able to help, but it will cost much more than the phone cost, and they won't guarantee success.