Q: I am looking for more effective video conferencing technology. What would you recommend?

A: Vidyo - Desktop Conferencing is the answer. vidyo platform is demonstrating never-before-seen video communications. http://www.vidyo.com/about/
For ASU:

ASU has licensed VidyoConferencing as an Enterprise service for use by ASU Faculty, Staff, and guests involved in teaching, learning, administrative functions and research.  ASU’s Vidyo license does not currently include the student body.

http://help.asu.edu/sims/selfhelp/SelfhelpKbView.seam?parature_id=8373-8193-4613&source=Selfhelp&cid=147832

Q: How can I improve my online course?

A: the Quality Matters workshops are now available online! Join the session to improve the quality of your online materials: http://www.qmprogram.org/professional-development-web-conferencing-workshops-available-now

Q: What is the best teaching style for science?

A: read this article
ASU professor recognized for innovations in science education | ASU News

Q: I am looking for a way to use a branching scenario in my video to make it interactive. Is it possible to do for a person withough special video editing skills?

A: Yes, you can do it with YouTube! The key word is to add annotation to your video. This article will help:  
 http://support.google.com/youtube/bin/answer.py?hl=en&answer=92710

http://www.movements.org/how-to/entry/how-to-make-your-youtube-videos-more-interactive-by-adding-annotations/

Notes

• Annotations appear on standard YouTube players and embedded players.
• Annotations do not appear on custom YouTube chromeless players.
• Annotations do not appear in video playbacks taking place on mobile, tablet and TV devices.

Q: Where I can find free high-quality resources for my courses?

A: The answer is MERLOT (Multimedia Educational Resource for Learning and Online Teaching): http://www.merlot.org/merlot/index.htm
It is free and open online teaching community.

Q: I've been looking for more flexible and easy to customize LMS for our online classes? What are the most competitive solutions on a market right now?

A: After attending the 4th Annual QM (Quality Matters) Conference on Quality Assurance in Online Learning Program I would look closer at products like Canvas: http://www.instructure.com/
http://www.instructure.com/higher-education
Also SoftChalk offers solutions for eLearning initiatives: http://softchalk.com/

Q: I am new to teaching online. What resources would you recommend to start with?

A: Welcome to Online teaching community! Explore the articles here: http://www.onlineuniversities.com/blog/
It will help you to "make the jump to online education".