If I  do any shots from the car, I balance the camera on the side ( roll down the window)  to steady it and "never" do too many driving segments. Somebody else drives! Also, try Hyperlapse - free video app from Instagram. It is super steady, plus you can speed up the motion scenes - I wrote about it in YouTube Thursdays on January 15, 2015. Best of luck. 

If you are shooting from a car...well you should just stop that.

If you really want to stabilize your hand held video, and you have budget that suggest you can't go Hollywood, then PVC is your very best friend.

But first, you may find that upgrading your editing software to include digital image stabilization is all that is needed. Sweet and easy. You do edit the source don't you?

Now, back to our regularly scheduled tech talk.....about PVC stabilizing.

Create a horizontal brace to be held in both hand with a horizontal member upon which the camera is mounted. The two hand brace will smooth the shoot out PERFECTLY.  Do not attempt while driving.

It will look very rougly like the image below.

There are some great suggestions here! Couldn't add anything - I have the same issue

I learned a trick a long time ago that works well for me. Tie a piece of kite string about 5 ft long on the mounting screw on the bottom of your camera and tie a heavy steel washer on the other end of the string. When filming, step on the washer with your foot and pull up on the camera to keep the string taught. This will steady the camera. It's easy to carry in your pocket and the thing I like is it's cheep. 

My wife drives and I shoot the video. 

Glide-Pro

I'm looking at using a GoPro with a suction cup mount to the windshield. Since it's attached to the car it should absorb most of the dips and cracks, and I believe there are stabilization options in their software, too.

Handheld gimbles or steadi-cams with a DSLR tend to tire me out super quick.

I use a 2-handed gearbox.

Wow Evelyn Johnston you got great answers.

I would have suggested a good mount and smooth drive if you are driving while shooting.

There are a few image stabilizer apps and software available online and you need to 'process' your video using them.

And not to mention video editors that may 'cut' some of the clips when there is a 'bounce' due to dip or crack in the road.

Evelyn -- a filmmaker friend uses a steadi-cam

I have a hand-held gimble for my GoPro camera.  It's too small for my DSLR, but would still work for a small snapshot camera.  I don't typically do video of the neighborhood, only some photos.

If you want super steady look into a handheld gimbal mount. 

Great question.  I'm with Don Davies, since my photography skills aren't great, moving or not.  Has anyone found a photographer that will actually film video of a neighborhood at a reasonable rate?  I've asked around with no luck except one photographer that had a little bumpiness in his video.

I recommend a fluid pan head (or a motorized one) that gives you extreme smoothness and lack of vibration when you pan across the horizon with a videocamera.

I actually have used the Gopro, and they come out looking fine. Has a belive a stabilizer in it.  Either way, great option.

I am learning a lot from reading this Q/A as I need to get better at Videos. Thanks Evelyn Johnston 

I rerecord...well I used to rerecord, but I bought a weight and that's working well.  Good luck!

I learned a lot from the comments.

 Good morning Evelyn. There are many answers but the main one depends upon what are you doing? I use a camera that has a gimbal head which does take a lot of the vibration out. Some vibration can be taken out with the software. Give me a call. Perhaps I can help you.

I don't shoot a lot of video, but on the ones I did, a monopole helped with steadiness.

Like Kevin said, a stabilizer will help a lot. If you don't have a stabilizer, try using a tripod without extending the legs. It gives you more surface area to grab and adds mass to the camera which helps reduce the little shakes and shimmys.

I use my steady hands.  You mean there is another way?

Check into a balanced and counter-weighted video stabilizer Evelyn Johnston . Basic models are under $40 and should eliminate much of the bounce and shakiness. Find them almost anywhere cameras are sold.   

I haven't figured that out yet either.  Mine are not the best videos because of that

A tripod or a stabilizer.

Zhiyun crane. The camera should have stabilization too. Film more frames per second, faster and then slow it down for buttery smooth.

I don't!

Great question Evelyn. I use a stiff arm or the carhood or window ledge and also have used the side of a tree and just panned the area. This is getting to be a great time for neighborhood videos.