We have used the Nanshan 25-m Radio Telescope at Xinjiang Astronomical Observatory to obtain timing observations of 87 pulsars from 2002 July to 2014 March. Using the Cholesky timing analysis method we have determined positions and proper motions for 48 pulsars, 24 of which are improved positions compared to previously published values. We also present the first published proper motions for nine pulsars and improved proper motions for 21 pulsars using pulsar timing and position comparison method. The pulsar rotation parameters are derived and are more accurate than previously published values for 36 pulsars. Glitches are detected in three pulsars: PSRs J1722$-$3632, J1852$-$0635 and J1957+2831. For the first two, the glitches are large, with $Delta u_g/ u > 10^{-6}$, and they are the first detected glitches in these pulsars. PSR J1722$-$3632 is the second oldest pulsar with large glitch. For the middle-age pulsars ($tau_c > 10^5$~yr), the calculated braking indices, $|n|$, are strongly correlated with $tau_c$ and the numbers of positive and negative values of $n$ are almost equal. For young pulsars ($tau_c < 10^5$~yr), there is no correlation between $|n|$ and $tau_c$ and most have $n>0$.
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