It is easier to use an extractor and suck it out the dipstick. It gets 99% as much out as pulling the drain plug. This is how all the VW/Audi/Porsche dealerships do it. It does take about 10 or 15 minutes for the extractor to remove all the oil. I use the Mityvac extractor.no air compressor needed (it has a built in hand pump...about 10 or 15 pumps and you can walk away as the oil gets sucked out, thru the dipstick tube.
To pull the drain plug, you need to pull the black plastic bellypan off first, which is about 10 or 12 fasteners. If you don't have a lift, removing and re-installing the bellypan is a pain, due to the limited working room with car-ramps. You need to use a new crush washer, make sure you get the aluminum version, not the copper version. Check for leaks after refill, after a few minutes. These drain plugs and crush washers are finicky (another reason to use the extractor).
When you remove the filter, loosen it about 5 turns, and let it sit for about 5 minutes to allow the oil to drain out. (When it is loosened a few turns, a drain port opens and allows the oil to drain into the oilpan.) Then you can remove it without making a mess.
Refill takes 4.8 to 4.9 quarts. Always use an oil that meets the VW/Audi spec called out in your owners manual. Most commonly available oils do NOT meet this spec. I use Mobil-1 0W-40 "European Formula", easily found at Walmart in 5 qt jugs. Walmart also carries Castrol Edge (5W-40 I think), one version which also meets the VW spec, read the bottle. Always use genuine VW/Audi oil filters, or the same ones sold under the OEM manufacturer, made by Mahle or Mann.
I suggest changing your oil and filter every 5000 miles max. Change the automatic transmission fluid and filter, and the rear diff gear oil, and the Haldex fluid & filter every 40,000 miles.
The first gen (PQ35) VW Tiguan forums are full of usefull info. The Q3 and the Gen-1 Tiguan share the same exact engine, transmission, rear diff/Haldex all-wheel-drive system, steering and suspension (other than shock and spring rates, and the Q3 has aluminum front control arms, the Tigs are steel). The unibody chassis are similar, but the Q3 has structural enhancements which improved its small-offset crash test performance. The Q3 also has an aluminum hood and rear tailgate, the Tig is all steel.