Bit longer reply than I had anticipated but lots to tell you
We went to the exact same place with Esprit last year. The resort is great and if your DCs can ski they will have a fab time both in Obergurgl and over at Hochgurgl which is full of fab wide blue runs (it takes approx 10 minutes on the free ski bus from outside Chalet Verwall to Hochgurgl) so makes for a great family ski holiday. DH is experienced skier and tells me that although the snow was great, there are only a couple of black runs and he didn't find it hugely challenging. Other members of group were less experienced but still capable skiers and they seemed to find enough to keep them happy.
The staff were great - very friendly and helpful and young! - and the childcare was of an excellent standard. I really felt as though each child was given individual attention in the ski classes. DS1 was 8 last year and he had a great instructor called David (young funky surf dude type) who took my very nervous and fearful DS from shaking like a leaf to cruising down blue runs by the end of the week.
There is a small green run outside of the chalet accessed by a rope lift (similar to the magic carpet type lifts). My kids had a fab time out there sledging, practising skiing and generally messing around. You'll find this run if you ski back to the chalet from the main resort.
The chalet is on the small side and I wasn't impressed with the standard of accommodation. To be fair, I have never stayed in a rental chalet before (always stayed at FILs house near Thollon Les Memises) but my DH tells me this is about par for the course in terms of ski chalets. It is clean and neat but our room was very basic and no bath - just a shower.
The dining room gets quite cosy at breakfast when the room is full! Plenty of food and wine on offer and there is cheese and biscuits in the upstairs "snug" (very appropriate word for the lounge area!) after dinner.
There is a great little sauna in the basement of the chalet for apres ski relaxing.
Ski rental place is literally a minutes' walk from the chalet but get there early as possible on Monday because the queue builds up quickly.
Transfer from airport was very straightforward - took about 1 hour 45 minutes and the Esprit team looked after us by putting a DVD on for the kids and handing out beers for the grown ups! They hauled all our luggage up to the chalet and kids food was waiting for them on arrival.
Lunch places - there are loads of places to eat around the base of the main gondola in the village. The Picnic bar/restaurant was especially good. There was also a pizzeria very close to the chalet where we ate with the kids on the staff's night off. The Nederhutte is a very popular mountain restaurant (go to first station of central gondola, transfer to chair lift and ski across to it. Over in Hochgurgl, there are several mountain bars and restaurants (one right at the top of the highest black run which has a stunning view across the Dolomites but isn't for those fearful of heights!).