You sound in a good place and hey why not try the dating scene, its all trial and error, you may find someone you really get along with or you may find you are not quite ready for it, I feel go in with an open mind and remember you are in control at all times.
As for your question - I differ from bttrfly (sorry bttrfly honey, no offence intended), your h gave up the right to know what you are doing when he walked out and set up his own single life down the road. At this point you are only exploring and so go enjoy the experience, if and when you meet someone and you feel it moving forwards romantically enough for your s to be introduced to new guy, then I would speak to your h prior to that happening so he is aware.
I have not told my h of my "friendship" with another man, its none of his business and I as I don't know where its going myself it may be an empty story. I also dont want him to start being interested in me and my life so I give this new whateveritis up, just because he does not want me to be with anyone else, when he does not actually want to be with me either.
My h could well be seeing someone else already, he did not tell me about his first ow for weeks and he introduced my boys to her before telling me. If your h met someone else, I would not be surprised if he kept her quiet for quite some time, he would be enjoying his high, part of that is you not knowing about her.
Go, explore this and if it becomes something you really want or you meet someone you really like, then let your h know.
This is only my personal opinion, does not mean its right!!
You are truly amazing M, I really admire you, you inspire me to get out there and experience what life has to offer.