Second stay in this great hotel, fantastic location!
I spent 7 nights at the Tribeca Grand in March 2012 with my partner who was on a business trip . We also spent one week in October 2011 in this hotel but I did not leave a review.
The check-in was done very smoothly and efficiently. We arrived pretty late on a saturday evening but someone was there to greet us and to do the check-in. The receptionist also gave us a refreshing glass of bubbly and we even got an upgrade (we stayed at the hotel six month ago and at their sister hotel the Soho Grand a year ago). There was no doorman to help with the luggage at that time (midnight) but it's a very short walk to the lifts. Both lifts are big and work fast.
The room was big enough for our needs (we had two big suitcases and stayed one full week). Some people have mentioned in other reviews that the hotel needs "redecorating". I think that they are completely mistaken in the sense that it has been decorated with a retro feel to it that is very "70s" (expect some mustard, orange and dark brown!). This does not mean that the furniture is old/not functional or outdated at all (retro is very trendy in Europe at the moment)! I usually do not like the 70s style but it is a rather elegant 70s. Plasma screen TV, ipod dock//alarm clock (it charged my ipod nano), ironing board/iron in room, safe (works with a credit card, no pin to remember). Full-wall window so plenty of light.
The bed is AMAZING! I want to take it away with me every time! It is the most comfortable mattress I've had in a hotel (yet very firm -we forgot a half full glass of wine on the bed last time and my partner moved and... that's right no disaster!). If you travel a lot, you know the importance of a good bed...King-sized bed (due to the upgrade I believe). The bathroom has got a retro vibe again (industrial 70s retro). It's not ultra modern: the shower/bath worked fine but it's a shower curtain. Great quality Malin+Goetz bath products. Hairdryer.
Noise: It is normal during day time, at weekends (friday & saturday only) it can get a bit noisy in the lobby bar (it's a huge atrium) but there is a noise cancelling system and it works great. At night, there is a bit of noise coming from the outside hotel on an occassional basis ( sirens from the police, ambulance and fireman services). This is a city that never sleeps! 
The room was clean (I checked under the bed and behind furniture- I have allergies!) and it was kept clean during our stay. Hotel is also spotless.
There are a few lovely touches: complimentary wi-fi, cancelling noise system (inside the bedroom), free pet goldfish (I did not ask for one this time but have done so before, and a goldfish was promptly delivered. Think of it as a cute silent pet that will match the decor!), pet-friendly hotel (I only saw two dogs during my stay). There is also a room on every floor with an automatic coffee/hot chocolate machine as well as a selection of magazines (including Time Out, which you can also get from the concierge who is very friendly). They also have a cinema room downstairs (movies at the weekend) and you can rent dvds for free (provisional deposit reimbursed without any problem upon return) at the front desk.
Food/Restaurant/Bar: There are so many options around in New York City that we don't use these facilities. The bar area looks great, there are lots of sofas to sit and relax with a drink if this is your thing. Next time I will try the bar. Oh, in October they decorated the whole area for Halloween. It was fab!
Gym: We did not use it but I did have a peek. It is small but fully equiped.
Check-out: When we left, the doorman promptly whistled a taxi for us and helped us with our luggage (none of the usual nonsense telling us that it is difficult to get a cab and that we should book a town car). I always leave on a sunday late afternoon/evening. It takes 5 minutes to get a cab. They also kept all our bags safely in a locked room for the whole day before our departure . 
Staff/Management: All the members of the staff were not only efficient & professional but also polite & friendly (without being intrusive).
Overall, a pleasant and problem-free stay! If I had to stay there for a third time I would not be disappointed at all and would enjoy it all over again!
Any questions, please do not hesitate to contact me! I have also stayed in the following NYC hotels: The Peninsula, The Chandler, The Soho Grand, The James (in that order).