Introduce the SF fruits/veggies first, so cooked carrots, bananas, etc. Some people are very sensitive to fructose so applesauce is not 100% safe for them so maybe wait on that. I'd also advocate eating any fruits or veggies after safe SF like rice at this stage.
Then try peas and finely chopped or peeled zucchini (the inners are SF high), all cooked and after SF.
Then try adding in other veggies after SF minimising (but neccesarily getting rid of by peeling) the IF as you need.