Regrading for patio
Just curious regarding the slope currently going towards the house. Do you have a weeping system in place, any moisture issues at all etc?
I put in a large patio and to get a good consistent slope I did the following:
Get a few good lengths of rope or twine that can withstand a lot of tension. Anchor it to a point close to the base of your house, run it out in the direction you want your slope to go to the edge of where the patio will extend to and anchor it such that the rope runs near perfectly level. When you've done that you can start moving earth and using the rope as the reference. If you want a 5% grade (which may be a little much for a patio) and the patio extends 20 feet then the ground at the 20 foot mark should be one foot lower from the rope then the ground at the base of the house (20' * 0.05).
As far as the slope, it's up to you, I'd go with 5% for the first 5 feet and plan for a flower bed there, and then go 1-2% after that.