...You're having experience on delicately transplanting them.
Although, those seedlings would be leggy, so, for that, you still can pin those leggy stems, after transplanting in larger pots.
Yes! It's not a vine, but to get stabilize, those leggy stems need to be pinned.
I used paper clips to pin them.
P.S. Have you ever transplanted Spinach seedlings into a larger pot?
Would love to know your experience.
(Just some of my winter veggie experience).