I would add that the Tartakower is in fact possibly Black's solidest response to d4, and his results with it are close to 50% at the GM level (a fact noted in John Watson's "Chess Strategy In Action"). I also base my Black repertoire against 1.d4 on the Tartakower, and I would note a couple of things which may be useful:
(1) You will almost certainly end up playing against the Exchange Variation and 5.Bf4 lines more than the Tartakower main lines. This is not necessarily a bad thing, and is really more of a testament to the soundness of Black's position in the Tartakower lines. But you definitely need to know how to respond to the Exchange Variation, as in my experience it is the most common White choice. And you need to know a response to 5.Bf4 because some of the lines are quite sharp. (On the other hand, Black has some very interesting and aggressive possibilities in the 5.Bf4 lines, and White can go down to a quick attack if he is not careful. I personally am very happy when I see 5.Bf4.)
(2) The two best books I have found for Tartakower players are: (i) Matthew Sadler's "Queen's Gambit Declined" (which provides very good explanations for the ideas behind the moves and a reasonable amount of theory on the Tartakower [2 chapters], Exchange Variation [2 chapters], Bxf6 lines [1 chapter], and 5.Bf4 lines [1 chapter]); and (ii) Lasha Janjgava's "The Queen's Gambit and Catalan for Black" (which doesn't have a lot of explanation but does provide a complete repertoire for Black against the Exchange Variation, 5.Bf4, 6.Bxf6 lines, the Eingorn Variation (5.Qc2), and the Tartakower main lines); Janjgava's analysis and presentation of theory seems to me to be of very high quality.
I can also recommend Colin Crouch's "The Queen's Gambit Declined 5.Bf4!" (published in 1998 and therefore slightly dated in some lines, but still the bible for both black and white players in this variation).
(3) Besides Nigel Short's games in the Tartakower which were mentioned previously, there are other good places to look for high-quality Tartakower games such as the Karpov-Kasparov World Championship matches (all of them except the 1990 match; in some of the matches, both Karpov and Kasparov were playing the Tartakower as Black and against it as White!), and games by Geller, Spassky, Vaganian, Yusupov and Beliavsky (all of whom played the Tartakower in high level games with some frequency).
(4) Probably the main reason that the Tartakower is not more popular is the possibility of facing the Exchange Variation and the fact that in some of the Tartakower main lines White can force farily drawish positions. As to the former, Janjgava suggests a repertoire based on the Alatortsev Variation (1.d4 d5 2.c4 e6 3.Nc3 Be7!?) in his book, a move order that allows Black to avoid the most troubling lines in the Exchange Variation (Janjgava also covers the main line Exchange Variation very thoroughly), and which I believe was the approach used by several World Champtions, including T. Petrosian and Karpov. And as to the latter, even the "drawish" positions in some of the main lines have some play in them, and are really only extremely drawish at the GM level. Moreover, there are almost always riskier but less drawish alternatives for Black if he needs to play for a win.
I think the Tartakower is actually a very good choice for a defense to 1.d4, one that is playable at all levels and which is extremely unlikely to every experience serious problems. Also, there are so many great games in this variation between top class players that you can learn a lot about chess in general as well as theory in particular looking at them. So I would highly recommend the Tartakower!
Good luck.
- Geof