The Queen's Gambit declined is the foundation of a ton of defenses against 1.d4. It's often useful to look at the Slav, semi-slav, nimzo-indian, queen's-indian, and bogo-indian all as variants on the QGD which seek to make different compromises - in the nimzo, bogo- and queen's indian, there are almost alway times when to play them well you have to recognize, "If I play D5 now I'm essentially transposing into a very favorable QGD."
So start with the QGD.
The Tarrasch is a lot of fun - and certainly good enough for club-level players, I mean, heck, didn't Kasparov play it in a championship match? - but does require a very aggressive mindset otherwise you're just worse. If you're not comfortable playing dynamically around a static weakness, it's not a great choice.
I play that sometimes and on the 4th move I tend to go with d6 rather than c5. White is still slightly better, but there is no clear plan for white to gain a big advantage. After that, it tends to go
5 O-O Nd7
6 c4 Ngf6
etc. and it's pretty even.