This paper is the second in a series where we report the results of the long-term timing of the millisecond pulsars ( MSPs ) in 47 Tucanae with the Parkes 64-m radio telescope . We obtain improved timing parameters that provide additional information for studies of the cluster dynamics : a ) the pulsar proper motions yield an estimate of the proper motion of the cluster as a whole ( \mu _ { \alpha } = 5.00 \pm 0.14 mas yr ^ { -1 } , \mu _ { \delta } = -2.84 \pm 0.12 mas yr ^ { -1 } ) and the motion of the pulsars relative to each other . b ) We measure the second spin-period derivatives caused by the change of the pulsar line-of-sight accelerations ; 47 Tuc H , U and possibly J are being affected by nearby objects . c ) For ten binary systems we now measure changes in the orbital period caused by their acceleration in the gravitational field of the cluster . From all these measurements , we derive a cluster distance no smaller than \sim 4.69 kpc and show that the characteristics of these MSPs are very similar to their counterparts in the Galactic disk . We find no evidence in favour of an intermediate mass black hole at the centre of the cluster . Finally , we describe the orbital behaviour of four ‘ ‘ black widow ’ ’ systems . Two of them , 47 Tuc J and O , exhibit orbital variability similar to that observed in other such systems , while for 47 Tuc I and R the orbits seem to be remarkably stable . It appears , therefore , that not all ‘ ‘ black widows ’ ’ have unpredictable orbital behaviour .