It seems your thermal perch worked well for you. For me, I wouldn't need one as the weather is pretty consistent. I would worry about burning his little feet as well, but I'm sure that's unfounded.
Birds need a large variety of perches. Their feet need to change position every once and a while or they run the risk of developing arthritis, sore feet or flat feet. Try to have a rope perch or otherwise padded perch where the bird feels comfortable sleeping or lounging. Maybe try a swing perch, so they can move so they please. A sandpaper perch is not recommended for sensitive feet, but it helps my lovebird keep his nails trimmed. Try some natural shaped perches, including just sticks from outside. Make sure the wood is safe to use, first. Avoid using the dowel perches that usually come with cages, they're alright to have just 1 but again, birds need variation.