Yes, I've dealt with feelings of self-loathing and self-hatred on and off throughout my life. And I guess the first thing I'd want to say to you is congratulations . . . recognizing and wanting to address the self-hatred you experience and sharing your story so honestly and eloquently is, IMO, such a courageous act. There is, in fact, a part of you which obviously loves yourself very much, or else you wouldn't be taking the steps you are towards changing. So take a moment to appreciate and thank yourself for what you've done

There are all sorts of different modalities and techniques for developing self-compassion. If New Age/New Thought type of things appeal to you you might want to check out the writings of Louise Hay

Louise Hay - Official Website of Author Louise Hay

From a Zen perspective there's Cheri Huber

Cheri Huber - Zen Student, Teacher, Writer

If you'd like something more scientific I'd recommend the concept of Unconditional Self Acceptance found in Rational Emotive Behavioral Therapy (my personal favorite)

The Philosophy of Unconditional Acceptance | The Tao of Recovery

From a post on this site I've recently discovered and started using Compassion Focused Therapy as well

Compassion Focused Therapy Worksheets, Handouts, Resources and Techniques | Psychology Tools

Self-compassion - A Healthier Way of Relating to Yourself

Or I would also recommend, very seriously, to just watch a bunch of Mr. Rogers clips on youtube.

I hope this might be of some help. You are very much acceptable, just the way you are.