A way to transfer or keep messages?

Hi all, I've had the same phone since about 2016. It's an ALBA 4 and the files say it runs 7.0. I'm not super tech-savvy but I'm aware this might be too old to do anything with, but I'd appreciate any advice.

I finally got around to getting a more modern phone (motorola razr 40) and for the most part don't mind starting new, but I have some good few years of messages from a close relative now deceased. Nothing in-depth or containing vital info, but I'd be sad to lose them (especially given the age of the phone). I'm aware you can save and export saved contacts via sim card, but I can't find anything on text messages. Currently my number's being transferred so that's left the alba dead in the water in that regard, but would there be any way to save text messages to a new sim card to export, or even save them as a file to keep in a memory stick/upload them to a google drive?

If I left out any important details just let me know and I'll try to provide the info. Otherwise, I'd be thankful for any tips if there is a way to do this.