My book "Phylogenetic Trees Made Easy: A How-to Manual" 4th Edition, 2011 was written specifically to provide an introduction to the practical aspects of phylogenetic reconstruction. It focuses on using the free program MEGA, and includes examples, tutorials and lots of screen shots. Although it is used as a supplementary text in numerous courses, it deals very little with theory and a great deal with practical application. Available at most University libraries, or for sale from Amazon.
I advise you to consult this very interesting book: 'Estimating Species Trees: Practical and Theoretical Aspects' edited by L. Lacey Knowles and Laura S. Kubatko.
This a very interesting book on phylogenetics. In addition, there is a free program package (MEGA) closely linked to this book. In fact, the authors of both the book and the software are the same.
- Nei M, Kumar S (2000). "Molecular Evolution and Phylogenetics". Oxford University Press, Inc.
My book "Phylogenetic Trees Made Easy: A How-to Manual" 4th Edition, 2011 was written specifically to provide an introduction to the practical aspects of phylogenetic reconstruction. It focuses on using the free program MEGA, and includes examples, tutorials and lots of screen shots. Although it is used as a supplementary text in numerous courses, it deals very little with theory and a great deal with practical application. Available at most University libraries, or for sale from Amazon.
I second the above recommendations. Additionally, there is plenty of information in the documentation associated to each of the phylogenetic estimation packages available online.
The best possible approach I can advise if you have time is to select a few taxa with well determined phylogenies, and download sequences for a number of different orthologue genes from sequence databases like NCBI's or ensEMBL, and try aligning them, estimating trees using different genes and different estimation methods. That will give you a feel for how different genes may tell different stories, and how the evolutionary history of certain lineages can affect the topology of the overall tree. Also, explore how gene/marker and taxon sampling influence your output.
It takes a decent amount of time and computational power, but it is fun and revealing, and might change a lot how you look at published molecular phylogenies.