These are the newly potted tomatoes ( they're all indeterminate cherry/grape type )

Will the air temps be different than where they are now. Will the sun exposure be different than what they have been exposed to?

Odds are the answer to both is yes. Then they need to be hardened off first.

Hardening off is nothing more than providing for a gradual adjustment to any change in environment.

If you can't move the plants to allow for that gradual adjustment then modify the new environment somewhat - rig up some temporary shade in the hoop house and monitor the day/night temp extremes carefully for a few days. You may have to lightly cover them on cool nights.

Dave

Right....when you break it down like that it makes sense, so my instincts were right.

My next question then is : I had them under lights 12 hours a day, so now I will harden them off by bringing them outside, but if I put them in the shade/direct sun combo are they getting the same light as they were under grow lights? So am I done with grow lights at this stage ? I know this probably seems like an obvious question but I guess it seems hard to understand the difference between artificial lights vs sunlight at this stage for me !!