You are entitled to make noise as long as you are within the stipulated hours of the planning permission. I wouldn’t feel bad, engaging them just gives them more ammunition esp if you do decide to share detailed plans with them as then they will want you to stick to the plan dates and to give them notice when it deviates. Unexpected things crop up which causes delays, you don’t want to constantly having to update them of delays.
I would simply give them updates if required on where you are at or when you entering the next stage of required, and if there is loud work like steel beams then might be wise to let them a week or so know in advance. Totally get your neighbour is irritated however at the same time you need to do get your own stuff done so there is always a conflict of interest which cannot be resolved. You are entitled to do all this work as you have planning permission so I don’t think you are feeling entitled at all.
one of our neighbours are an absolute nightmare - we tried to engage them however the more we did the worse they got as they feel like there is a channel to moan and complain about absolutely anything, including stuff like the skip being unloaded and it’s too noisy. They have even intruded our property and yelled at our builders for making too much construction noise. Sorry to say but the situation won’t be improved for the first few months as the work will get noisier when they dig and also when you get the steel beams on. They won’t be grateful if you delay your work or when it’s quiet work going on but will complain regardless when it’s noisy, this is from our experience. They just suck energy from you and you still got a long way to go.
What I do suggest is that you ask your builders to keep unnecessary noise to the minimal e.g. radio, shouting, yelling so that at least you have tried to minimise noise. Also, if you are to give updates, give individual updates and not via a group chat etc, they will just feed off each other and gang up.
Good luck with the renovations, we also had complaints on day 1 so know how you feel.