What kind of lawyer should I contact to evaluate if I file a civil case to sue or not, and if yes, then at what point of time?

Good morning, based on the limited information provided, you should contact several attorneys who practice in personal injury to see if you have a viable claim.   The attorney can also attempt to  obtain the police reports and the medical reports from the prosecutors office. This will save alot of time in building your matter.  In addition, if there is a restitution amount that could be entered at the criminal portion, the attorney can establish an amount and prepare you for the victim impact statement and there might not be a need for a civil case.  Please feel free to contact me to discuss. L. Centanni.  

you can sue the person who assaulted you in civil court for assault. you have the burden to prove that the assault happened. you would also have the burden to demonstrate how you were damaged. for example, you had a broken arm and missed five weeks of work. you would then receive your 'out-of pocket' losses. we can help. ed imon, esq. 732-797-1600