I'm interested in philosophical applications, parsing English sentences and practical real-life reasoning situations. I'm not so much interested in the math/computer science angle.
I'm interested ... parsing English sentences
You might really enjoy Harry J Gensler's book, "Introduction To Logic" and in particular his accompanying software, "LogiCola" which is a fun way to practice parsing English sentences and analyzing statements in a logical form.
I'm not so much interested in the math/computer science angle.
Don't get thrown by the title, but I'd recommend Keith Devlin's "Introduction to Mathematical Thinking." It was written for use inconjunction with another free resource for learning logic, his MOOC (Massively Open Online Course) through Coursera, "Introduction to Mathematical Thinking" & is a great transitional course from high school mathematics (algebra, arithmetic) to university and college-level mathematics and logic. It covers things like truth tables and quantifiers and is a lot of fun. Devlin - a mathematics professor at Stanford University - is a really good lecturer (you might also enjoy his lectures on the history of math) and the course is very well designed (one of the best online courses I've taken).
I'm interested in ... practical real-life reasoning situations.
I have not taken this course, but for "practical, real-life reasoning situations", you might enjoy "A Clear Logical Argument Guaranteed" offered by Udemy.com and taught by Joseph A. Laronge. It's $50US.
In addition to Michael Genesereth's Coursera Course course on logic, Stanford also offers an introduction to logic course through EdX: http://online.stanford.edu/course/language-proof-and-logic-self-paced. The course is $55US. They use Jon Barwise & John Etchemendy's "Language, Proof and Logic" as a textbook and John Etchemendy is one of the course instructors.
I'm interested in philosophical applications
In the words of Ludwig Wittgenstein, "Philosophizing is: rejecting false arguments" so you might also want to brush up on logical fallacies:
...and it would be good to start with a basic distinction of formal and informal fallacies.
Lastly, a practical example of a philosopher contending with a Bad Argument.
Try E.J. Lemmon's Beginning Logic I found it really useful as an introduction to Syllogistic and Propositional logic, and not overly math based.
Richard Arthur's An Introduction to Logic is a very easy to read book with a focus on natural language. It has plenty of examples which are formal, and many more from newspapers, TV, etc. It also grows with you, from a beginner who has never seen formal logic to the time when you start to get curious about non-standard logics. A medium size book small enough to be easily carried around, I recommend it highly - and I know it is used in several logic courses at the undergraduate level.