We weigh and tag right in the pasture as soon as possible after the calf has nursed. Our calving pasture is about 60 acres, wooded and hilly, so finding them is always the biggest challenge, but it means the cow can always find a clean hiding place to calve. We use a sling and a hanging scale to weigh. You can buy both online through places like Valley Vet. We have the scale hooked to a rod that is long enough for two people to lift.
We put iodine on the calves umbilical, slip the the calf in the sling, lift and read the scale, then we put a tag in the ear. If you catch the calf before he's 6 hours old, this is pretty simple. Older and it can be a rodeo. We always put a rope halter on the calf as soon as we get hold of him, so we can stop him if he decides to take off. We keep the calf between us and the cow, throw the cow a flake of hay and work the calf while the cow eats. When we are done, the halter comes off and the calf is gently pushed back to Mom. It is surprising how often, even a calf that fought you, will now turn and follow you away. This process works with cows that trust you, but is not recommended with a cow that shows aggression.