Sign up for Netflix, watch the new season of [show] and then cancel it after a week or two. Rinse and repeat with Amazon Prime, Crave, Disney+, CBS All Access, etc.
That's what I plan to do. After the latest Netflix price increase a few months ago, I dumped them (after being a member for several years). I went to Amazon Prime instead (considerably less expensive, plus Prime shipping, as a bonus). I have Crave as well, just because I was able to get annual plan at lower, locked-in price. But when that plan expires, I will most likely dump them as well.
The plan was, just like you're saying, to switch between these services, but for now I'm staying with Amazon Prime, because there's still shows there that I want to see. When there's nothing more to see, I'll probably get a month or two of Netflix, and then back to Prime, maybe Crave.
What's really confusing to me about Netflix is that they don't offer any discount on annual plan, as opposed to their monthly plan. I suppose, as the leader in the game, they got a bit too cocky. Well, with no annual discounts, and very steep price increase...they lost me. I keep getting emails from them, asking me to come back, but offering no incentives for me to even reconsider.