Harrods Creek
Harrods Creek is probably the most scenic paddle near Louisville, and is very popular with flatwater paddlers. It is mostly forested area with some residential areas and marinas thrown in. The Ohio River creates a pool several miles long providing good water levels at all times, though it may be difficult to actually access the creek when the Ohio is flooded.
Access
There are several access points to Harrods Creek, none of them are optimal compared to access to most other streams and lakes.
Harrods Creek Boat Harbor
HCBH is the most popular access point, it costs $5 per boat to launch. It is located just past Captains Quarters. Go as if you were going to Captains Quarters, but once you reach the parking lot keep going straight through a swing gate and down to the boat ramp.
Unfortunately HCBH isn't always open. It is closed from November through April, and during periods of high water on the Ohio. It is illegal to park in the Captains Quarter's parking lot and carry your boat through the gate. Also, the boat ramp isn't always staffed, so there is an "honor box" for you to put your $5 launch fee in, and you'll obviously need exact change.
329 Bridge
It is possible to launch where Hwy 329 crosses Harrods Creek, but parking is very limited. This also puts you above the pool created by the Ohio, so low water levels may be an issue. But this is a fairly popular launch site, you will often cross paths with people who have launched here while paddling up from the Ohio.
Nachand Canoe & Kayak Rental
Nachand Canoe & Kayak Rental (502-753-9271) rents kayaks and canoes, and also offers launching your own boat for $5. It is just slightly upstream of the Ohio, near HCBH. I believe parking is fairly limited, and I don't have any information on season of operation.