I would personally say that 2 quarts every 3000 miles is excessive - as my own 2002 has about 150K on the clock and doesn't burn a drop. But by the "book", anything more than 1 quart every 1000 miles is considered "excessive" oil consumption. There is a low oil pressure lamp that comes on when the pressure is too low (the universal oil can symbol) - but once you see that, it usually means that it is too late, you have to be running nearly zero oil in the crankcase to see that.
Couple things you can do - ignore it and just keep feeding the engine oil when it needs it (cheaper than buying a new car). Or find out where the oil is going - a phyiscal leak, oil burning due to stuck rings, oil consumption due to leaking valve seals, clogged PCV valve, etc.
Quick lube places are convenient, but they can make mistakes, due to the volume of cars they are working on. Anything from forgetting to put oil back into the engine to leaving the drain plug off. If you must go to a quick lube place, double check their work immediately after they are done. Check oil level and note any oil drips, leaks. Only takes one mistake to start a good engine down the path of an oil burner.
Try using a synthetic blend or full synthetic motor oil - many have reported good oil control with blends or full synthetics. Synthetics are much more resistant to high temperature burn off than conventional oils and tend to have higher solvency to help keep the engine "cleaner". Valvoline Synthetic Blend high mileage oil (Valvoline MaxLife) is recommended by many - seems to help with leaky valve seals and may help control stuck rings. Additives like AutoRX are also highly praised for freeing stuck piston rings. But keep in mind that these will only help mild issues - if there is physical damage in the engine (broken rings, or scored cylinder walls) there is not much you can do aside from an engine rebuild. Only way to find out if you have leaky seals or stuck rings is to perform a compression test (normal and wet) and a leak down test. Leak down will check for leaky seals, a wet compression test will tell you if you have stuck rings or maybe worse.
Another option is to try a thicker oil - I'd recommend no more than a 10w-30 motor oil. Though technically not any thicker than the factory recommended 5w-30 at operating temp, will be a little tougher to pump around in cold weather. You may also note a decrease in fuel economy when you use the heavier oil. But in exchange, the oil is more resistant to high temperature burn off and tends to have a different additive package, since many 10w-30 do not come with the "energy saving / fuel conserving" rating. Note that if you still continue to consume a considerable amount of oil after switching to a 10w-30 oil - discontinue its use and go back to the 5w-30 - as the extra phosphorus used in the heavier oil's additive package, will tend to poison the catalytic converter slowly.