Have searched the Sony forum, found some talk of zoom lenses but nothing quite what I'm asking here which is, recommendations on budget zoom lenses.
Sony DSLR-A300 (with 18-70 kit lens) owners, first DSLR, the thing stays on automatic mode all the time. We are quite happy with the pictures we have been able to capture with this camera, as well as the quality. My wife hasn't spent any time learning about how to use the camera

This is a fact that will not change, so I see no reason to buy a more expensive zoom lens.
We want to get a zoom lens for outdoor use -- sporting events, kids running around, etc.
Top performance is NOT a factor; price is.
I'm trying to learn some of the basics, but things like 'beercan' are foreign concepts to me. Have read some user reviews on 3 lenses that I'm considering; would love opinions from you folks on these or anything else under $200.
Thanks in advance!
Tamron AF 70-300mm f/4.0-5.6 Di LD Macro Zoom Lens for Konica Minolta and Sony Digital SLR Cameras ~ $168 on amazon.com
Sigma 70-300mm f/4-5.6 DG Macro Telephoto Zoom Lens for Minolta and Sony SLR Cameras ~ $159 on amazon.com
Tamron AF 75-300mm f/4.0-5.6 LD for Konica Minolta and Sony Digital SLR Cameras ~ $151 on amazon.com