me

I have recently built a new house and need to landscape down the side.
The side is about 1.2m wide and gets hardly any sun at all. The dirt
also slants towards the house. When it rains it stays wet down the side
(up against the house) for a few days as the water has no where to run.
I have decided to level out the side using the existing dirt, lay some
weed mat and get some fill sand delivered (and compact it using a plate
compactor), then lay some stepping stones and river pebbles (I will
make the level slope towards the fence line and not the house).
Now my questions are:
1) Does this sound like a reasonable idea (as well as cost effective)??
2) Will i need to lay ag pipe to get rid of water when it rains, or
will the water run off towards the fence line once the level slopes
towards the fence?? Or because i just have compacted fill sand will the
water soak straight through and still stay wet up against the house??
I hope i have made sense with these questions, and hopefully someone
can help.
Thanks,
Matt