by lid i'm assuming you are talking about enclosing the front? If so, most people use two pieces of glass with a screen at the top.
false bottoms using eggcrate provide an area for excess water to go to so that your soil does not become water logged. LECA can be used instead of eggcrate but it will wick the water back up into the substrate. I drilled my tank in the bottom and put in a bulkhead drain and plumbed it with a ballvalve so that i can do several things. I can leave the valve open so that the water drains out into the bucket i have underneath it, or i can close the valve so that there is some water under the false bottom to help with humidity and open the drain valve and drain out water when i want.