The steering wheel in my 01 honda odyssey turns slightly side to side when i'm
 

driving??? It doesn't matter at what speed i'm driving when the steering wheel starts moving left to right a bit by itself. What can be the problem and about how much would it be to fix it?

you front tires need to be re-aligned, go to a garage probably have to adjust air pressure as well.

You need you wheels aligned.

Get your tires balanced and see if that helps.

When is the last time you had the tires aligned or balanced? Of you look at your tires you will see wear on the outer edges, and this will wear your tires out sooner than normal.

You just need to get an alignment done, I think it's usually in the range of 30-70 dollars, call around at your local shops.

I would go to a tire shop, and get your wheels alligned. That sounds like the problem it's not too expensive I don't think. 40-55 Dollars

It's either the wear on the tires (new ones needed) or an alignment problem with the front end. Take it to an independent garage authorized for Honda repairs for a diagnosis.

You probably need a wheel alignment. This is what had happened to me and after I had it adjusted it was fixed. It was about $50 for mine to get fixed and it is amazing how being just a few degrees off can make your car turn slightly to one side.

Well, your wheel alignment could be off or you could have a suspension problem. Or, it may just be that your tires are not properly inflated. Take your car to a garage and inflate all of your tires to the recommended PSI on the sides of the tires. Not sure what I am talking about? Ask one of the guys that works at the garage... they will have a PSI gauge and they can help you.

Definitely need to realign. If you have one, ask your mechanic for an estimate. The price will vary by vehicle.

Normal alignment when it is straight, the steering will veer to the right a bit. The reason in case you fell asleep and the car will not drive into on-coming traffic. Also most roads are convex where it higher in the middle then the sides, so the rain does not puddle up. Veering to the left, might be a problem of not properly aligned front end, or the road is slanted. The car when level and let go of the steering wheel, it should go the right a bit.