Both of them do a good job on stair cleaning and quick pick up.
The Bissell 33A1 is designed for quick picking up pet hair and dry messes, it comes with 2 Nozzles, a Rubber Nozzle for picking up dirt and pet hair & a Hard Nozzle for removing dry messes.
The Eureka 71B features 2 motors, 1 motor powers the rotating brush, and 1 motor for suction only mode. Its motorized brushbar can be turned On/Off. It also features the Riser Visor, a clear plastic cover that stays down for horizontal surfaces cleaning and can be flipped up for cleaning vertical surfaces.
Compare Eureka 71B and Bissell 33A1
| Bissell 33A1 Pet Hair Eraser Corded Handheld Vacuum | Eureka 71B EasyClean Corded HandHeld Vacuum | |
|---|---|---|
 |  |
|
| List Price (prices checked on 2014-04-21) | $29.99 on bissell.com | $39.99 on eureka.com |
| Power Source: | corded | corded |
| Cord Length | 16 feet | 20 feet Eureka 71B has a longer cord. |
| Power Rating: | 4 amps | 5.5 amps |
| Cleaning Path | 4 inch | 6 inch |
| Attachments | No accessories, but includes 2 nozzles. | Crevice tool |
| On/Off Brushroll | No brushroll | Yes |
| Hose | No | Yes |
| Bagged or Bagless: | Bagless | Bagless |
| Warranty: | 1 year limited | 1 year limited |
| Weight: | 5 lbs | 4.8 lbs |
| Cleaner Dimensions: | 10" x 5" x 8" (D x W x H) | 7" x 15" x 8" (W x L x H) |
| Manual: | Bissell 33A1 Manual | Eureka 71B User Guide |
| Official Link | http://www.bissell.com/pet-hair-eraser-corded-hand-vacuum/ | http://www.eureka.com/en-US/Vacuums/Lightweights/Easy-Clean11/Lightweights-EasyCleanHandVac-71B.aspx |
If you own Bissell 33A1 and Eureka 71B, please share your experience.