the SERRATIONS showing on the TUBES came from the sidewall of the tires... This DOES NOT mean that the TIRES caused the loss of air... theTUBES got hot/Soft, then conformed to the tire's inner surface!

Are the Tires showing Weather Cracking? Are the tires Significantly Worn?

If you answer "no' to both questions, you DO NOT NEED New tires. THE TUBES should be replaced with a better brand, NOT THE TIRES.
not sure if it was you or someone else,but Goodyear HEAVY Duty tubes (enphasis on HEAVY!) were mentioned...they will make your bike ride more roughly and sluggishly.
i use Kenda, Specialized and Michelin tubes,mostly. Regular tubes... and then i Check the pressure Every riding day, then top up as needed.

to review.. Bike Tubes Lose pressure over time..especially over three or more months.. it's a FACT. Slimy Sealants are a mess, Heavy, and Will Plug The Valve occasionally, which is just another problem.

Good quality tubes, No Sealants, and Frequent Pressure monitoring.. then shield those bikes From That Brutal Houston Sun.