[nikkev]

When I was taking a class in Statistical Inference, we used a combination of Statistical Inference (Casella and Berger), Introduction to Mathematical Statistics (Hogg and Craig) and Probability and Statistics (Degroot and Schervish). If you're still interested in learning about Fisher Information and the Cramer-Rao Lower Bound, you can refer to pages 514 - 521 of Probability and Statistics 8th Ed. It has a number of proofs which you can skip if you're not interested but it also provides a number of examples using different distributions to calculate both the Fisher Information and the Cramer-Rao Lower Bound.