Unless you can deal with a massive amount of crying (with you say there comforting baby through it, but crying none the less), you can't just make a swap from arms to bouncy chair or cot, just like that.
The gentle route requires much more gradual changes. For example if you were previously sitting down, holding baby and not moving for a 45 (ish) min nap, the first step might be to hold baby throughout the nap but get up at some point. Move to another sofa.
Next step might be getting baby used to going to sleep sometimes in your arms whilst standing, sometimes whilst sitting, sometimes on your shoulder. And that baby is used to you moving, maybe walking to kitchen and back with sleeping baby in your arms.
This first step is getting baby used to things not always being the same for naptime. Baby won't cope with anything different if she's never got used to anything even mildly different happening.
Once you have her used to being moved around and in different positions, then work on having little bits of the end of the nap in the cot.
For example if you are expecting a 45 minute nap, after about 30 mins, stand up and have a walk over to the cot (sjipdnt wake baby - used to this) and see if you can lower her fast aslerp into the cot.
Next time try after 20 minutes being asleep. Then 15 minutes. Then 10. Then starts the very very gradual teeny changes to get her used to going to sleep in the cot.
Do do your naptime settling in her room. Then do the settling with her in your arms but standing over the cot. Then in your arms but bent over the cot. Then in your arms but lower in the cot. All very small, tiny changes.
Set your expectations though. The gradual route will probably take to well past 12 months until established.
You could speed it up if you wanted. It would involve crying though.