O.K. First let me qualify my coment on this post. I am in no way a professional, and have very limited experience with digital camera's however my opinion follows....
I have used both the Kodak easy share and the H.P. Photosmart 733. I like my hp way better. It is a 3.2 mega pixel which means it will take fairly good pictures that you can zoom in on and the resalution is quite good. It also has good shutter speed (That is supposing that is what you call it on the digital) providing you use the correct setting. The settings are changed easily and if you read your manual it is pretty simple. It also has 3x optical zoom which uses a pentax zoom lens along with the digital zoom. This lets you take some good pics. Oh yes and it is fairly rugged as well. Mine has taken some spills. It also comes with pretty good software for your pictures (Cut/crop, zooming, blowing up, resizeing) The best thing is You can get into one at Wal Mart for under $200.00.
As far as the Kodak easy share, it takes o.k. pictures, but I have found trouble with card formating. If you forget to format your card everytime before use, It will not allow you to download to the computer and when you do format, it looses your pictures. I found this the hard way. The worst thing is that was the camera we used at the office to take crime scene pics. Luckally for me it was not a very big or important case (Well all are important but this one was low on the list.)
So my advice is the H.P. photosmart 733. But with my opinion and .50 cent, you can make a phone call..lol.
Good luck and be sure to shop around before you buy.
Cheers
Ray