The only answer if flux. Use a lot of it on the pads on the pcb, put the component on it. Till now it is easy to align the chip, because the flux will hold it in place more or less. Solder some corners first (don't worry about shorts now).
Now put a very small quantity of solder on the iron, and slide gently on each row of pins. Because of the huge amount of flux, no shorts should be present except maybe on the corner position you stop (remove this with the wick).
For the small capacitors and resistors, put a but of flux on a piece of paper, and dip the capacitor in the flux with a pincet, place it on the board and solder one side. solder the other side with a bit of fresh tin on the iron (you have two hands available now, because the component should be fixed on one side already). Touch the side soldered first again with some fresh tin-lead. The last step is crusial, because a solder joint placed with a pincet in the other hand is always worse than a joint made by the tip touching the tin-lead directly on the component.
If you start shaking with your hand, stop and get a walk. Don't hurry.
I hope it works...
Stefaan