I own a 5.5-year-old 3880 and a 1.5-year-old Canon1000. Use both in different places. The 1000 is now primary. 3880 has been flawless, even when left for long periods of non-use now that it's the backup location.
The Canon1000 failed at 1-year-old and Canon replaced under warranty. Image quality is beautiful. Paper feed is flawless: 4x6 to 17x25, thin draft paper to thick Harman baryta. It's a pleasure to work with, mechanically and artistically. Printing with Lightroom is seamless. But it does half the throughput of the 3880--it thinks a lot between prints. And it has a drinking problem--there is a LOT written about ink use.
IF you can chalk up ink cost to long-term cost of photography and IF you don't do panos, the 1000 beats my friends' P800s for usability.