Hi OP, have you seen the baby led weaning book? It isn't quite the same as "self feeding" or "finger foods".
The theory behind it is that the baby leads the way (hence the name) in their own weaning, and as previous posters have suggested, the adults back off.
DD1 was extremely high needs. We also decided to do baby led weaning with her, and it worked so well after I had got my head around the theory of her leading the way.
So, we put her on a booster seat up to the table with us, rather han in a high char. She had a placemat on which her food went, rather than a plate, and we just used to put out a bit of whatever the rest of us were eating, on her mat, for her to try if she wanted. If she didn't want to, she just left it or dropped it on the floor. She didn't have any special foods for her, just exactly the same as we ate - be it roasts, casseroles, pizza, sandwiches, salads, curries or whatever.
The thing about dd1 is she was never actually that interested until about 10 months, but we gave her the opportunity. After that, she tucked in nicely.
The amount of stress it saved was great.
We did the same with dd2, and it meant that dd1 was less distracted at meal times.
Soory for such a long post! Happy to answer any questions. 