They are adjusting to more sunshine and heat. The new growth looks good and that's really all that counts.
Keep the soil evenly damp - how often you water depends upon your climate, the size of your containers and how quickly the potting soil you used dries. My veggies are in the ground, my temperatures are very close to yours right now (they'll get hotter) and I water everyday. If the soil does nnot stay evenly damp, your tomatoes will develop blossom end rot.
Don't fertilize until you check the potting soil bag. Lots of potting soils come with built in fertilizer. I use Miracle Gro Potting soil for my container veggies, it has enough fertilizer to last the summer.
If it doesn't have added fertilizer, you will have to add some eventually (but not quite yet). Don't fertilize the basil at all - it loses its flavor when fertilized.
PS: your veggies are not showing any signs of overwatering, just some sunburn.