Solids introduction/BLW

Di

For those with success in BLW or solid introduction I am hoping you could provide some advice. I have done obvious banana/avocado, scrambled eggs and cottage cheese and she tolerated it well. She can also do those baby puffs and small pieces of muffin. but I can’t seem to introduce other foods and unsure what to try next. She gags and sometimes vomits from the gagging on other things I have tried. these include mashed canned pears/peaches, roasted zucchini without skins(very soft) and fine shredded cheese. I am looking for guidance on what other foods to try that are easy to introduce. This may be dumb question but how are people cutting some of banana/avocado for them to grasp. I have been helping her because I was cautious at first but she can grasp her puffs ok so want her to have some independence on foods she can tolerate. TIA