Moving DWC tomatoes outside question about the sun.

Last week, I transitioned these Roma tomatoes to these buckets. I’m planning to move them outside in the sunlight. I live in Tampa, and the sun can get brutal. I’m thinking of wrapping with a net for bugs and covering with a shade cloth. My question is how should I transition? Do I need to gradually condition from shaded area to more sun later? Are outdoor hydroponic plants more resistant to sun damage compared to inground?
Amazed by how cheap and easy putting this together was. Hoping to expand the operation.