There are ratchet straps and there are ratchet straps. What I mean by this is there is a vast difference in quality in any given size. I have some very thin 1" straps that I always back up with another strap, and some heavier (thicker webbing) 1" straps that I trust. You need to shop around and look at the construction - how thick is the webbing? Do the ratchets look flimsy or robust? How thick is the metal they used to make the ratchets? How to they work when you move the lever to tighten them? Check out Hopot for the garbage grade, and then look at Lowes, and several auto parts stores. I'd also include a truck parts store - though they might have straps that are too wide and heavy for our usage.
There ARE good quality straps out there. If you buy online, make sure there is a return policy (Amazon, for example). Like most other things in life, the good ones are not the cheapest.
When I trailer my bike, I run a rope from one rail, loop it around the rear wheel, and take it to the other rail. This prevents the rear tire from moving side to side. I also lash the front wheel to the front rail of the trailer, as well as use 4 ratchet straps. To up front, two in the rear.