Steering wheel shaking at low and high speeds...

I am figuring the tires need to be balanced. I thought that this was only the case if the wheel shook at high speeds.
When I am getting on the highway ramp (for example) maybe going 20 or so and taking a soft turn, I feel the wheel pulse a little bit and I know that is not normal.

Is this just a balance? I have spent ALOT of money fixing this gem up, I don't want to keep spending if it won't fix the issue.

Lastly - probably not related, but for good measure: I will be replacing the brake pads soon...is it ok to balance first then do the brakes? I really don't think it matters in either order, but I just want to make sure.

Thanks
Nick