
For backyard birds, you want enough reach to fill the frame while keeping your setup light. I would go with Canon 75 300mm lens. On a Canon APS-C body it gives you nice pull for birds at feeders or perches without weighing you down.
It reaches 300mm and weighs about 1 pound, so it stays easy to carry around the yard and handhold. The tradeoff is no image stabilization, so shoot in good light, keep your shutter speed up, and brace on a fence or use a simple monopod. If you can position a feeder or perch a bit closer, this lens will deliver pleasing backyard shots without the bulk.