The number of stator slots depends on the frame size, the number of armature poles and the manufacture of the stator stamping. For manufacture of Kienle & Spiess, 4-pole motors have 24 slots up to frame size 80. 4-pole motor of frame size 90 and 100 can have 24 of 36 slots. 4-pole motors of frame size 112 and larger have 36 slots but very big 4-pole motors can have 60 of 72 slots. 6-pole motors have 36, 54 or 72 slots, 8-pole motors have 24, 48 or 72 slots.
I don't agree that rewinding is easy for an amateur. It is just easy if the original winding can be used. A 2-layers winding as given in figure 1 of KD 730 is most common for a 4-pole motor with 24 stator slots. There is another way for which the coils are laid as tiles but laying the coils this way is rather complicated for a small stator as then one has to work with all phases at the same time. For a 2-layers winding, one can first lay two coils of phase U, next two coils of phase V and next two coils of phase W and all these coils are lying in one layer, so there are no crossing coil heads. Then all coil heads are bent to the outside and the second layer is laid in a similar way.
If the voltage of the original winding is too high, it is rather simple to half the voltage by modification of the 230/400 V winding into a 115/200 V winding by connecting the first and the second layer in parallel in stead of in series. This procedure is explained in chapter 4 of my report KD 341.