Q:

Best way to hand-solder this TQFP (SMD) component

So I'm working on a small project right now that requires a ATmega32U4RC. I'm trying to test/prototype with it, but it's a surface-mount component, so I can't just place it in my breadboard. So I found this, which is perfect for what I want. 
The problem is that I haven't soldered in quite some time. I've also never soldered a component with such tiny leads.
Needless to say, I ended up with this:

Yea, I know it's bad :(
The solder-wick didn't really seem to want to do it's job (anyone know why this is?), so I couldn't really clean it up.
Are there any tips for doing this (tools that might help me, etc.)? Is there an easier way to do this than hand-soldering?

A:

Learn to use "drag soldering" technique. Basically, instead of trying to solder each pin individually, you just get a bead of solder on the tip and roll it across the pins. As you hit each one, it'll leave just enough solder on the pin to attach it.
A video will do a lot to help explain here:
https://www.youtube.com/watch?v=wUyetZ5RtPs
There's a few things that help make this work:

Apply flux - lots of it - before you start soldering. Yes, I know the solder you're using probably has a flux core, but that's not enough here. (If you use paste flux, the paste can also help keep the part in place.)
Using the right kind of tip helps a lot. A small tip is not what you want here! I use a Hakko "hoof" tip (T18-C2); there's probably equivalents for most other good irons.

A:

Get better (fresher?) solder wick. Digikey carries it, you can have it next-day. 
It will clean that up very nicely, in seconds.  
You may have to add more solder then suck it away. Looks like you are already using 63/37 but it behaves a bit more nicely than lead-free solders. 
Before soldering, make sure the board is clean (your ENIG board should be fine). For a prototype I like to use a flux pen (like a Magic Marker/Sharpie but it contains liquid flux) on the contacts- some use liquid flux from a bottle. 

