Depending on the level, I think there is room for all teaching methods.

I use handouts or PPTs when introducing or consolidating a tricky grammar point; there's a wonderful photo-copyable resource 'Visual Grammar' that is invaluable when it comes to YL teaching. Handouts do certainly have their place, they provide a record of work for students and can help with learners who like to have a reference point when studying. It is possible to rely too heavily on handouts; they should never replace the teacher as the method of delivering the learning, they should be used as a compliment to the lesson only. The same is true for PPTs. If you are good at making them, they can be a wonderful interactive tool that can really benefit a lesson.

With kinaesthetic learners, handouts/PPTs can be a hindrance, so using methods such as DOGME and TPR are much better for them.

You're never going to have a class that all learns in the same way, so I find a balanced mix of visual, aural and physical deliverance to be the most effective way of ensuring language acquisition.

I personally like to have a physical lesson plan as this acts not only as a rudder throughout the lesson, but helps me to focus prior to class about where I want the lesson to go and acts as a record of work after the fact. Most regulated schools will require that lesson plans are kept for a period of time (sometimes years) for auditing purposes, also. I not only plan individual lessons, but at the start of each term I skeletal forward plan the term so I can be sure I know that I'm covering all the relevant parts of the course, this is especially beneficial for classes taking exams at the end of the academic year.

As for resources that I use, again it very much depends on the age and ability level. For young, low level learners I use mainly my own created resources as I know what works and what doesn't. I also use starfall.com quite frequently with them.

I don't really use public libraries as there's not a huge amount of relevant material for ESL teaching in the local Spanish library! Again, I mainly use my own personally created materials, although I do find the Mary Glasgow set of publications to be incredibly helpful.