I soon got used to coping with heat and humidity in the sub tropics, where I have lived for 31 years. Rule one is - slow down! Rushing round and stressing out is bad in a heatwave.
NEVER spend much time outside between 11am and 3pm - ish, and when you have to be outside, stay in the shade.
Buy a fan if you don't have air conditioning, and open the windows. Best if you have fly screens. Moving the air around does help.
When desperate, take a cold shower fully clothed, or in Tshirt and panties, and let it dry on you.
Wear light, loose clothing in natural fibres - nothing worse than nylon in a heatwave!
Drink lots of water - more than you think you need.
Spend some time in an air conditioned shopping centre or library etc.
None of this costs much, if anything, and all of it is common sense.