Wiring is sometimes seen as another form of bonsai torture for these little trees but it is really no different to staking or espaliering fruit trees. The wire is only on for a short time; long enough to set the branch in the new position and then it is removed. It is quite possible to create a perfectly acceptable tree without wiring using a clip and grow technique but the use of wire speeds up the whole process and allows you more flexibility in your design.
The wire used is a soft copper or aluminum; try to get wire that is about one third the thickness of the branch to be bent. Wire stripped from electrical cable is perfectly adequate but if you can't find any, you may have to contact your local bonsai nursery. The trick with wiring is to make sure that one end is anchored properly; you can achieve this by pushing one end into the soil if bending the trunk or wiring two branches at the same time. Practice on a branch you have removed or on a near by tree before you start on your tree. The turns of the wire should be kept at an angle of 45 degrees and quite firm against the branch, be careful not to tear the bark or worse, snap your branch. Go slowly and keep it tidy, people will be looking at it for a few months before you can remove it.
The length of time you leave it on will vary depending on the type of tree and the time of the year. Keep a close eye on it and when it starts to look too tight, cut it off. If the branch springs back, it will need rewiring. Don't leave the wire so long that it cuts grooves into the bark.
With your tree all wired and roughly to the shape you require its time to pot. The pot is an important part of the whole bonsai process it can make or break your design. Use a proper bonsai pot they should have quite large drainage holes and some kind of feet to lift the base off the ground. As well as these two horticultural requirements this is a piece of art you're creating so the pot should be part of your overall design. This is a new bonsai and as such still has some maturing to do don't try to put it in too small a pot. It will continue growing and you can always down size once some new root is established.