Immediate Questions:
1. What do I need to cut the concrete?

Rent an electric jackhammer. Available at all rental places.

2. Can I connect to the drain pipe from my basement bath room?

We can't see it from here, but if it has enough capacity and slope...

3. Can I connect to the drain pipe from the AC?

Probably not. This is usually designed for a small trickle of
water.
4. Which is better/worse?


5. How do I do a vent pipe? I'd use what's there. Look around.

Please help!