I have both and the charcoal grill is my primary source.
Have a no name natural gas grill. For me, it was an end of the season purchase for around $130 bucks and has lasted 3 years. Should get another 3-5 out of it.
My primary is a 22.5 inch Weber kettle grill. I use a chimney to start the coals (approximately 15 - 20 minutes) and add what ever type of natural wood for the smoke flavor (hickory, mesquite, cherry, etc.). What James said makes sense. If you fire up a chimney of coals when you get home, by the time the food has been prepped, the coals are ready for cooking. I have not used a propane coal starter so I am not sure how fast they are. The chimney is great as I use a few pieces of newspaper as my starter - No starter fluid taste or smell, just pure charcoal.
Aside from steaks, burger/sausages, the majority of my cooking is via indirect heat. Chicken, ribs, beef, pizza (pick up a pizza stone, you will never make a pizza without one again). Indirect heat allows you to add some natural smoke flavor to whatever you are cooking.
Per gas grills, I have some friends that spent a ton of money on expensive BBQ's, but since the majority of cooking is indirect heat, why bother blowing that amount of money on one? It does not make the food taste better. Yes, a Napoleon or a Weber may last 10 years, but I can get the same amount of time and use out of a no name BBQ (or two) for a third of the cost.
If you are really serious about getting in to the BBQ, spend some time on learning how to cook properly with it. There will be some trial and error, but eventually you will be able to master any food.