weird steering wheel shake???

So I just recently got a 1991 acura integra 2 door for my DD its got 183xxx miles. And im trying to get it back to good running condition with a tune up and replacing all the gaskets and water pump and timing belt. But one thing that bothering is that the steering wheel kind of shimmy when ever i let go of it and im driving doesnt matter what speed its at either if anyone could help that would be great. Thanks.

i would check your tie bars and axels. shimmy side to side right?

yeah its side to side its really annoying.

Jack up the front of your car and look at your tie rods see if anything is bend or looks out of place, shake your wheels back and forth and see if it moves, could be one of your axles as well, even a loose axle bolt

Check the front tire's balance as well.