Pilawoos,
In my case, it sounds like it is just the left side, but I bought the parts for both sides to be safe. The part in question is the Stabilizer Link Assembly (p/n 51320-S04-003) on the CRV. No idea whether the Civic has the same part. I should also mention that I have not installed the parts yet, so I do not know for sure whether this will fix the problem, but according to what I read on the web, this is a known issue with the 1st gen CRV.
Terabite,
Sorry I have no-one specific I could recommend. I tend to try and do stuff myself unless it needs special tools etc. With the present problem, I could not exert enough leverage to free the part, so I will probably take it in to the agents one of these days.