Hi eallen and welcome to theo forums.
I'm assuming you're after a take anywhere point and shoot type camera, in which case either would serve you well. Of the 2, I'd buy the Kodak as it's got a bigger zoom (5x over the Samsungs 3x).
Having said that, for £150 I would buy either the
Panasonic DMC-FS15 which is around £135 (you can get it with a case for under £150) and has a 5x zoom, or the
Sony DSC-W220 which should be around £140 which also has a 5x zoom.
There isn't much difference between the 2 cameras you mentioned (the Kodak and the Samsung) apart from the better zoom range of the Kodak.
There also isn't much difference between the 2 cameras I've mentioned. In the end, I would choose the Panasonic DMC-FS15 because it's better than both the Kodak and the Samsung in it's specifications and you can get a case with the camera for within your budget.