Bicycle Storage

This answer focuses just on tires. I read the OP's question ask potentially asking if there is a way to have the tires not lose pressure over time.

I believe the answer is no. All tires lose pressure over time because the air molecules seep through the rubber of your inner tubes or the walls of tires themselves. As far as I know, this is a matter of physics. Consider that this happens to car tires as well, only car tires are much thicker than bicycle inner tubes, and they are run at much lower pressure. This is why car tires lose pressure much more slowly than bicycle tires, but they still do lose pressure (and drivers should periodically check their tire pressure, as running too low a pressure here can increase rolling resistance and fuel consumption).

It's possible that bicycle tubes could be made much thicker to slow their air loss rates. However, humans have much lower power to weight ratios than automobiles. Increasing the tube thickness would also increase rolling resistance (a thicker tube would have greater energy loss through hysteresis as it goes over bumps in the road). This would impair riding experience.

The only alternative is indeed to pump your tires up before you go for a ride. With practice, this does not take long. I agree that there are a lot of little things to worry about with cycling, and it can seem cognitively demanding to have to pump your tires up. I can only say that this is a skill that we learn with time. After a while, it becomes second nature. Also, with butyl tubes, I have often been able to go at least a week without checking pressure. If you ride several times a week, you do not have to inflate your tires every time.

It seems possible that tubeless tires might leak air more slowly than tubed clinchers. These have no inner tube, their sidewalls are thicker than standard clinchers, and they rely on a layer of latex sealant to attain full air-tightness as well. However, I am not aware of any testing in this regard. In any case, entry-level bikes most likely won't have tubeless-compatible rims or tires, and tubeless compatibility has a number of significant hassles on drop bar bikes.

I would periodically spin the tires round, run the pedals round a bit and wiggle the deraillurs back and forth, to prevent them from getting seized up (my rear gear cable snapped when I went out for my first ride in 6 months recently). Some WD40 on the deraillur mechanisms would probably be a good idea too - you don't need to do this once a week.