Shooting a club with finite conditions
  We study cohabitation of the poset $P_S$ shooting a club through a given stationary subset $S$ of $\omega _1$ with finite conditions with other forcings. Sample results:   (1) $P_S$ "sometimes" preserves presaturatedness of $NS_{\omega _1}$   (2) $P_S=P_T$ if $S=T mod NS_{\omega _1}$ (in Boolean algebra sense)   (3) Cons ( one can embed $Q,$ the poset adding $\aleph _1$ Cohen reals, to $P_S$ such that reals in $V^Q$ are the same as reals in $V^{P_S}.$ ) 
Jind\v{r}ich Zapletal