I read your post with much interest and I respectfully have to disagree with Barbara H. In order to tame a parrot you have to earn its trust and that only happens via experience. In the wild, birds are prey creatures and that is an instinct not lost when living in captivity. Keep in mind that we have taken a wild creature and are having it share our lives in an environment that is not normal for them. When fully flighted, birds will seek the highest perch available and, again, unless you have a parrot that lives in the underbrush in their natural habitat, height is safety. Your lovebird does not associate the cage with bedtime and sleeping.
I can understand that you don't want to clip flight feathers, even temporarily, but that means you have to approach taming a bit differently. You need to get your lovebird perch trained before you let it out and about. He/she needs to get to know you and at least accept the thought that you don't intend to make it your next meal. This takes time, patience and love. Depending on the individual bird, it can take anywhere from a few days to several months or even longer. I have a female African Grey who has lived with me for almost 25 years and the best I can do is interact with her or let her take food from my fingers. I have no choice but to clip flight feathers because she's a particularly destructive parrot and loves to be up as high as she can get. Choice came down to clipping the feathers to limit where she can go or she would be in her cage when someone is not around to supervise her activities.