The D3000 (and several other) cameras do not have a motor to focus lenses built into the camera - the motor must be in the lens itself. This can increase the lens price, but generally such lenses focus faster. A refurbished (or even used on eBay or through a seller here) 55-300 will get you out to 300 mm with VR and good (although not great) optical quality. I had one, and although not my favorite lens it is probably the best bet in being inexpensive and still getting good quality.
#2. "RE: Nikon D3000 Question? Step Daughter Needs Help!!!!!!" In response to Reply # 0
As stated above, the three lenses on your list have a screwdriver type AF drive and will not AF on the D3000. The Nikon 55-300mm f/4.5-5.6G ED AF-S VR DX (refurbished $209.00) is optically excellent despite the fact that it is a kit lens. Other options are the Nikkor 70-300mm f/4.5-5.6G ED IF AF-S VR (refurbished $359.00), Sigma 70-300mm f/4-5.6 DG OS ($259.00 after $100.00 instant rebate), 70-300mm f/4-5.6 DLM DG ($144.00 after $25.00 instant rebate), Tamron SP 70-300mm f/4-5.6 Di VC USD ($449.00 before $100.00 mail in rebate), 70-300mm f/4-5.6 Di LD Macro w/built in motor ($199.00).