I can see you are new to this, hummingbird2, and that's very cool. Always nice to see people pursue the interest.
The most obvious differences between these two birds that you will want to note as you work on your identification skills are...
Overall shape. Chickadees and their European relatives, the Tits, have very short bodies. When they fluff up even a little against the cold, they can seem almost spherical.
https://s-media-cache-ak0.pinimg.com/736x/b8/63/46/b863469ffa2c1bec33de15f0c4b6d963.jpg
Bill shape. The chickadees have a short, quite conical beak shape. The warbler in question above has a much longer beak, more thorn-like, much more elongated.
Field marks. Chickadees and most tits have some white or lighter/high contrast markings on their head, whereas the Warbler above has no white on the face. The Warbler in #2 has some white on the face, but the beak is also much more elongated than any species of Chickadee or Tit.
If you really want to pursue it, I'd recommend picking up one of the Sibley guides, if you can spare the $20. If not, check out a guidebook from the library so you can familiarize yourself with their layouts (they are mostly very similar). Some books have some good pointers on observing field marks, behaviour, and using those to narrow your choices. Once you can recognize the major groups, you can start narrowing them down quite quickly.