You want to size the wire to match the load requirements. There are standards for this...
110v 15a breaker should have a 14g wire
110v 20a breaker should have a 12g wire
10g wire is a friggin PITA to work with, and is primarily used for heavy amp loads (30a)...
If you're just putting in a standard electric outlet, 14g wire and 15a breaker is plenty. It will handle most any load you put on it.
The heater gizmo you listed, only draws 2.4 amps...
You can buy one 15a breaker, and a roll of 14g wire... Look for "14/2 with ground"...You will have more than enough capacity to do what you want with that... It will be an indoor insulated wire with one black, one white, and one bare (ground) wire inside.
At the outlet...First, look at the outlet... You will notice that where the wires attach, one side has gold screws, and the other side has silver screws...The black wire is the "common" and ALWAYS goes on the gold screw. The white wire is the "neutral" and ALWAYS goes on the silver screw. The bare uninsulated wire is ALWAYS the ground wire, and ALWAYS goes on the green (ground) screw...
Inside your panel box...The black wire ALWAYS goes to the screw on the breaker. The white wire ALWAYS goes to the ground/neutral bar. This is also where the bare ground wire is attached.
Don't even attempt to use the 10g wire, you'll never get it connected to the outlet properly (due to oversize) , not to mention it's a bitch to work with...(and just plain WRONG for the job)
Trust me on this...