Congratulations and good luck for studying what the THE central language of Western civilization. It is mind-blowing and humbling in a way to realize that every educated person in the West knew Latin up to the early 20th century, and now it's pretty much been thrown by the wayside as too difficult or not "relevant" or not useful for the job market.
I've been studying Latin for about ten years and though now I can read it somewhat comfortably depending on the author, I feel somewhat failed by our culture that they didn't have me studying Latin from the age of 5, as was the case in the past. The lessons I've learned from my encounter with antiquity have stuck with me more than many of the supposedly useful subjects I studied in high school like calculus or chemistry.
Anyway, if I were to propose any ideal program for self-study of Latin, it would go something like this. (Keep in mind that everyone has their own learning style, and my method has been honed over several languages -- but this means some things come easy to me that might be more difficult for less experienced language learners).
The classic textbook for beginning Latin is called Wheelock's Latin.
http://www.amazon.com/Wheelocks-Latin-7t...0061997226
It follows the old-school, learn a grammar lesson than translate sentences approach that nowadays has fallen out of favor. But it is the quickest and clearest way to cover the basic structure and vocabulary of the language. And if you're studying by yourself, I think it's useful to have someone lay out everything for you rather than try to guess or "inuit" the grammar as in more modern approaches.
That being said, I am still a big believer in the idea that "you don't learn a language, you get used to it" -- meaning that you need to be exposed to a large quantity of the language in order to internalize it so that it feels natural. This means that you need what they call "comprehensible input," basically easy texts in the language that you can consume very quickly.
I guess the most logical place to start for this is with "Thirty-Eight Latin Stories designed to accompany Wheelock's Latin," since this books is keyed to the vocabulary and grammar you're already learning in Wheelock's.
http://www.amazon.com/Thirty-Eight-Stori...D2H97YMK83
Then one Latin teacher has gone ahead and put together 600 pages Latin text that you will be ready to tackle after finishing Wheelock's. It has the side benefit of teaching you Roman history and mythology as well. The PDF's can be found here:
http://www.johnpiazza.net/latin_hist_reader.pdf
http://www.johnpiazza.net/latin_myth_reader.pdf
600 pages may seem daunting, but this is easy Latin and you could probably read 20 pages per hour, and so get through all the material in 1-2 months with dedication.
Here's where the teacher explains the concept of "comprehensible input" as well:
http://www.johnpiazza.net/comprehensible_input
But at this point you're not out of the grammatical woods yet. Wheelock's teaches you the basics, but there are still more advanced grammar points that you will need to learn if you want to read real Latin with understanding and appreciation.
My recommendation for covering this material is Bradley's Arnold Latin Prose Composition. Yes, technically this book is teaching you to write Latin prose, but I don't know of any other resources that really covers these grammatical points that it contains. And translating into Latin does really help you internalize the language. What's more, the book is out of copyright and so available in the public domain here:
https://archive.org/details/practicalintrod00arnouoft
One more book I will recommend either as more comprehensible input or even as a possible alternative to Wheelock's is Hans Orberg's "Lingua Latina Per Se Illustrata." This book plunges you into Latin from day one. It includes no English and explains Latin grammar in Latin. I know people who have used it successfully as their main book for learning Latin, but it might be challenging to use for self-study, especially if you haven't studied a language like Latin before. The upshot though is that over its two volumes it gradually takes you from simple sentences like "Italia in Europa est" to reading unadulterated Ciceronian and Caesarian prose -- all through a subtle gradation of readings so that you don't even feel them becoming more difficult.
http://www.amazon.com/Lingua-Latina-Illu...1585104205
http://www.amazon.com/Roma-Aeterna-Pars-...ma+aeterna
There are dozens of more resources I could recommend -- Latin does benefit from the fact that people have been studying it for millennia in that regard -- but this is a good start. Let me know if you have any other questions or would like some more recommendations.