There is no such strategy which says that you should start studying from the Verbal section and then move on to Quant or vice-versa. Start with whatever you are comfortable with! Choose whichever you think you are good at. Generally, people with good language and vocab skills should start with Verbal ability section, it gives them confidence to move on. If you think you good at maths and data interpretation, start with Quants. Starting your preparation with something you find easy helps reduce stress and generate interest.
The GRE preparation study never ending. GRE word list never ends and memorizing those words can sometime freak you out. On the other hand maths section has no cap. More you practice, better you get at it.
There are bunch of options available on internet and off the internet for GRE preparation. The snap speaks it all for you. Off the internet material mostly starts from those small vocab notes, Kaplan guides for Verabal and maths, GRE for dummies book, Barron's guide to ETS software CDs.
Over internet there are lot of options available for preparation and checking your preparation. You could start with browsing some YouTube videos on selected topics like Sentence Correction, Sentence Completion, Reading Comprehensions, Analogies, Antonyms, etc. Then move on to maths and start with algebra and DI, graph analysis, etc.
For checking your preparation, one strong and recommended way is to keep appearing for mock tests and keep the check with where you need to focus your preparation efforts.