Anyone else giving babe frozen fruit in strainer?

I have a thing that holds food that my baby sucks on, and I’ve been giving him frozen pieces of strawberry, blueberry & banana.. anyone else do this? Is it ok to do this? Idk I’m confused...

I’m also needing help thinking of things to give my bubs... he HATES baby purées but LOVES actual table food. But idk what to give him next.. or how to give it to him really.. I know, sounds silly. I just need suggestions if you have any