There's something about dating though that is about sex right from the start- flirtiness, starting to talk or give hints as to what you like sexually, discussing previous relationships... I think that is what would distinguish going for a Sunday walk with an exciting new boyfriend from going for a Sunday walk with grandma. So the stirrings do need to have a flirty atmosphere, to be nurtured in. At the same time you need to not feel rushed and as if your flirting is writing a cheque you can't yet cash.
I can see you're saying you are building up to it, and the faint stirrings are coming along, but you might need to be actually explicit with him. Tell him.your libido is going to need completely to take the pressure off, for it to get going. I sometimes also say my libido is like that of an annoying 70s man who needs the thrill of the chase - so if you wouldn't mind could you be utterly fascinating and as flirty as possible but absolutely refuse to sleep with me for another few weeks please! So his job is to try and fascinate you but then be ultimately unavailable.
Your job is different - I appreciate menopause makes you feel like you can't be bothered with any of the physical stuff, I sometimes feel actually it's all very distasteful, but my head tells me that the only way to help my body get back on the path is to give it a go. So you have to do loads of masturbation and find a way to help your body and mind back to that glamour of feeling sexy in yourself.
When you had those other people and you had sex before you were quite ready, did they develop into amazing love partnerships, or not? That is more data for you either way on how far to trust your gut instinct - it might be protecting you, or you might need to just get on the horse.
This is all caveated with the fact it only works on nice men - you do need to apply a bit of burned haystack analysis really to your interactions. It's not about being nitpicking over grammar (fwiw though I am, because poor linguistic skills are a genuine red line for someone being my partner, I need someone incredibly verbally fluent as my whole libido is built on it!)
I think the toothbrush comment is about the gentlest way you could push, so for me it's not an immediate nope. And how did he react when you said don't bring the toothbrush?
So you need to tell him your needs in a clear, but flirty and sweet kind of way, invite him in to the challenge of wooing you mentally, and let him feel he is a catch too because not everyone can do this. Then pause and watch what he does - if he's cool he will do something that works for you, if not then that's more data.