  We investigated the superconducting and transport properties in
FeTe$_{1-x}$Se$_{x}$ (0.1 $\leq$ $x$ $\leq$ 0.4) single crystals prepared by
O$_2$-annealing. Sharp superconducting transition width observed in
magnetization measurement and the small residual resistivity prove the high
quality of the crystals. All the crystals manifest large, homogeneous, and
isotropic critical current density \emph{J}$_c$ with self-field value over
10$^5$ A/cm$^2$ at 2 K. The large and field-robust critical current densities
prove that the superconductivity in FeTe$_{1-x}$Se$_{x}$ (0.1 $\leq$ $x$ $\leq$
0.4) is in bulk nature. The values of anisotropy parameter close to $T_c$ for
crystals with different Se doping levels all reside in the range of 2 - 3. Hall
coefficients $R_H$ keeps positive and almost constant value at high
temperatures, followed by a sudden decreases before reaching $T$$_c$, which
indicates that the electron-type charge carriers become dominant at low
temperatures. Furthermore, the characteristic temperature for the sudden
decrease in $R_H$ gradually increases with Se doping.
