Divorced and moving out.....still hopeful

[NewB3]

The day after Christmas was a nice day outside. Both of my sons played in the yard almost all day. S 11 took a short video of them talking about what they were playing. He sent it to me and it was so cute I sent it to her. I rarely send her anything like that but the holiday spirit had gotten the best of me I just had to share.
S3 .5 had a birthday after the holidays. We had the party at her house and went over in the afternoon . S3 .5 had asked if she could come over to play with his Christmas items after his party. I texted her to let her know and her reply was, "OK. Sounds good". We arrived at the party and immediately she started being very chatty and nervous. I tried to remain calm and cool and did the father thing. She had a bottle of wine for the adults so I excepted a glass hopefully to take the edge off. We did the cake and birthday thing and while he was opening his last gift I looked at the wine bottle to see what kind it was. When she saw this she immediately went the fact her realtor gave it to her and it was supposed to be a good wine etc.
After the party I asked if both boys could stay with her while I ran to the grocery as I had dinner planned. She gladly excepted and asked that I call her when I leave the store. 30 minutes later as I left the store I called I arrived home and got things ready to start dinner. Again not inviting her to do things with me and letting her come to me. She ride with the boys and they played in the front room. She walked in and I asked if she wanted something to drink she more than happily said yes please. She saw some chips sitting on the table and asked if she could have a chip. I jokingly said yes but only two. She smiled. As the first plate of food was done I called one of the boys in and then followed with would you like one? She said no I need to be going and quickly made her exit after saying her goodbyes to the boys.
I worked out of town for New Year's and did not hear from anyone while I was gone. I arrived home New Year's afternoon and hung around the house Friday trying to catch up from the holidays. Normally S3 .5 goes to bed about 730 or eight however on Fridays he gets to stay up late usually until he falls asleep. My phone rings at 7:30 Friday night and it is her. She is telling me that he wanted to call and she asks if I'm home... and I said yes, I'm home cooking dinner. So I listen to her tell me about how you've been acting in what he's been doing as he didn't seem too interested in talking once she was done I told him goodbye and she called my name as though I was just going to hang out without telling her goodbye. She told me to have a nice evening enjoy my dinner and they would talk to me later.
I called her Monday evening and asked if I could take S3 .5 to dinner on Tuesday night. She seemed excited about it and he did not. So I told her never mind it's not a big deal. She said no sometimes he doesn't want to go to school but I'm taking anyway if that is what you want to do you need to do it. So I told her I would take him to dinner. I picked him up tonight he was fine we had a good dinner and when we're almost to her house I called to let her know we were close. I arrived her front door was open and she was putting together furniture that she had gotten it. There were some awkward things I noticed. She seemed to be somewhat nervous and chatty and I was polite but did not have much to say. She then asked what I thought she was going to ask me Friday night. She asked me a lot of questions about my working out of town last week. She asked how my New Year's was and how everything is been going. She asked if I wanted to remove some of his toys to have at my house I looked around and said it's too much to think about right now I'll just make some sort of a list and then I can get them next time. I then gave him kisses goodbye and as I went to the door she followed me trying to make eye contact and smile at me. She said have a good night, hope dinner was fun, stay warm and I guess I'll talk to you again on Sunday. we can decide if I'm going to bring pick him up from you or if you were going to bring him home.

I've been coming here not so often but when I do I make a long journaling post. My question is still the same and I would like some sort of replies here. I'm starting to get confused with her.
I'm trying not to show too much interest of being very polite when she comes to me. I'm very uncomfortable being around her and my child tells me that he misses me he tells mommy that he misses me. He also mentioned tonight that mommy also says that she misses me. I told him when he misses me, to call me. I told him when mommy says she misses me, tell mommy to call daddy. I told him it would make me very happy if mommy called me. He said it would make him happy if mommy called me and then want to meet a look at the big smile on his face.
What could possibly be going through her head at this point? The holidays are over and she won't be seeing me as much. Could reality be setting in now that she's in her own home by herself and the holidays are over? I've been watching more of the Corey Wayne videos and reading his book I know what to do when she makes the first move but how much time is enough time for her to really miss me? I know I'm going to get a vague answer for that last question but I miss getting feedback.

Happy new year everyone. I appreciate what this forum has done for me and I hope you find more peace in your life this year.