The difference between Eureka 96H and 96F is the color and dust cup.
The 96H is black with yellow while the 96F is in purple color.
The dust cup on 96H is clear yellow so you can see how much dust, hair, small spills, etc. it has picked up, and you know when to empty. While the dust bin on the 96F is solid purple that will not tell when it is full or needs to be emptied. Though color is something about personal preference, the clear design on the 96H dust container is obviously more user friendly, it might be a better choice if you are deciding between these 2 Eureka Quick Up 2-in-1 vacuum cleaners.
By the way, this 96F is discontinued.

Compare Eureka Quick Up 96H vs 96F

	Eureka 96H Quick-up Cordless 2-in-1 Stick Vacuum	Eureka 96F Quick-up Cordless 2-in-1 Stick Vacuum
List Price	MSRP: $49.99 $34.99 on eureka.com on August 26, 2014	not available on eureka.com
Design	Stick/Handheld 2-in-1	Stick/Handheld
Handle	Removable handle converts it into a hand vac	Removable Handle
Power Source:	Batter Powered	Battery Operated
Battery Type	NiCad Battery, replaceable	Nickel-Cadmium, replaceable
Battery Life	about 15 minutes	about 15 minutes
Charging Time	14 -16 hours	14 -16 hours
Power	6 volt motor	6 volt motor
Cleaning Path	10"	10"
Motorized Brush Roll	Yes	Yes
Brushroll On/Off Switch	Yes	Yes
Height Adjustment	No	No
Bagged or Bagless:	Bagless	Bagless
Clear Dust Cup	Yes, clear yellow	No. It is solid purple.
Weight	4 lbs.	4 lbs.
Cleaner Dimensions: W x L x H	10” x 5” x 44”	10” x 5” x 44”
Color	Black, Yellow	Purple
HEPA Filtration	No	No
Filtration Type	Microfiltration	Microfiltration
Washable Filter	Yes	Yes
Charger	Wall Mountable Charger	Wall Mountable Charger
Accessories	No	No
Warranty	1-year limited warranty	1-year limited warranty
Manual:	96H Owner's Guide	96F Owner's Guide
Official Link	http://www.eureka.com/en-US/Vacuums/Lightweights/Quick-Up/Lightweights-QuickUp-96H.aspx	http://www.eureka.com/en-US/Vacuums/Lightweights/Discontinued/Lightweights-QuickUp-96F.aspx