Lars Petrus has a nice page for explaining and showing the basic moves of blockbuilding:
http://lar5.com/cube/fas1.html
http://lar5.com/cube/fas2.html
http://lar5.com/cube/blox.html
For building the 1x2x2 block, try different strategies. For example,
1) pair corner with edge 2) put the other edge in place (not actual place, it's enough when its main color matches to the center), 3) pair them up for 1x2x2
or:
1) put one edge to its place, 2) pair corner with the other edge, 3) pair them up for 1x2x2.
Then pair the last corner-edge and put it in place to form a 1x2x3 block.
During building the 1x2x2, you can influence the last corner and edge (which will be the last part of the 1x2x3 block).
Also, Gilles has good examples for building the second block:
http://grrroux.free.fr/method/Step_2.html
Experiment with different movements and pairing, and examine others' solves!