Why do you need to cut 12 feet?
I would cut around the pipe that comes through the floor first. I seem to do this a few times a year to either relocate a line or add one. I use a diamond blade in my 7 1/4 inch cicular saw and cut it as deep as it will go. I've never tried adding water to the mess, I just deal with the dust. I used to drill the corners with my hammer drill and chip out the concrete with my air hammer. This worked, but it was time consumeing and allot of work. Now I have a Hitachi SDS Max Rotary Hammer. It is the latest, greatest thing for drilling concrete. I just put in the bit and press the trigger. It just about melts through concrete. It also has the ability to be a small jackhammer that is just amazing at how well it works. If you don't have one, don't ever think you will need one, then rent one for the job.
After the concrete is out of the way, cut the pipe at the elbow and remove it. You will have to dig a pit out side the house to pull the old pipe out and slide the new pipe in, but that's pretty basic. Just be sure to cover the end of the pipe with a cap and tape it into place!!!
I always use Schedule 40 for my drain lines. You said this is a two inch line, so that means it's for a shower or sink drain. Toilets should be on a 3 inch line. Never cut a corner and go with drain pipe, it's thinner, but also weaker.
Only use purple primer and heavy duty clear glue. The others have all proven to fail, and are mostly designed for special applications that don't apply to what you are doing.
Eddie