The most important to store well your wine is the constancy of the temperature, ideally this should be within 10° and 15°C, and obviously with no light contact.
First advice, if the bottle is closed with a cork, bear attention to stock them lay down in order to leave the wine in contact with the cork. The idea here is to prevent the cork to dry off which will let the air to go through damaging the wine with an undesirable oxidation. Humidity should be 70% inside your cellar.
Depending on the storage temperature the aging will be accelerate (warm T°) or slow down.
Screw cap bottle can be stored standing, the screw cap technology have made a lot of improvement to improve the aging ability, which is still very important for wine such as Cabernet Sauvignon from Coonawarra.
Now if your main issue is more about serving your wine before they had time to age, then read our article about “Does my wine need to breath ?”