The PT1000 will need some conditioning of its value (resistance), it looks easy to mount onto various surfaces. It has no accuracy to state, as you will have to calibrate it against a known reading, the final temperature will depend on circuit parameters used to read it.
The 18B20 will give you an accurate temperature out of the box, to within a resolution of 0.0626C and accuracy (they say it's laser trimmed) should be good. Not quite so easy to mount.
Distance between sensor and PICAXE (as noted/infered by premelec) will be a determinant of your choice, for example long wires favour the PT1000, although in a good installation (shielded cables, good grounds) the 18B20 should operate well.
Have you thought of making a differential thermostat, to measure internal/external temperatures and their rates of change, such that you can predict if heating can be turned down in advance of some solar heating to the outside of the property, or turn down the heating if the temperature is climbing too fast towards the target temperature, that sort of thing.