Substitute solvent for diethyl ether? I want to run a reaction that needs diethyl ether as anti solvent in the last step (comes from articles).
But I can't use it due to its harmful effects on the body. 
Is there any other solvent?

My reaction is about substitution of $\ce{-OH}$ of lignin with BiBB in THF and in other one in $\ce{EtOAc}$ as solvent.
It is strange that you are concerned about diethyl ether (which has been used as an anesthetic), but you are not concerned about THF. From the US Pharmacopoeia:  


  Permitted Daily Exposure
  Tetrahydrofuran 7.2 mg/day
  Diethyl Ether 50 mg/day
  Ethyl Acetate 50 mg/day


If you dry the product thoroughly (above 120°C), you should not have any problems with residual solvents.