World him leaving really is good news and just what you need to crack on with the next phase. Don't surprised to be knocked by a new feeling of grief now that you know he's left the family home.
I thought I'd go through some practical matters that floored me which you might find helpful to try and focus on or get some info on. I expect you'll also need to liaise with STBXH so while he's feeling all guilty and sorry make the most of it.
You're right to keep all finances joint for now - he's paying so this works for you and DD.
Credit limit
I always had my own credit card but I never used it. My main credit card was a subsidiary card to XH's that meant all our spending resulted in airmiles so we always used those cards. When I applied for a card in my own name my credit limit was tiny and the company refused to increase my limit based on my income. Basically I had spent 15 years being pretty much invisible in terms of credit history. I couldn't even pay for normal monthly spending or book a holiday on the card without prepaying it. I always pay off the full balance each month so this was fine but it was very frustrating.
Car ownership
We had three cars. The one I owned in my name was a little run around for the kids to learn to drive. As a single woman doing a lot more driving I wanted one of the bigger cars. XH's name was on the logbook. He took so long registering the name change that I ended up having problems with my car insurance. Think about the sort of car you need and if it's adequate for the amount of driving you'll be doing now. If you need another car address that now with STBXH. Is the insurance in your name? If not then sort this now as your first premiums will be high as you build up your no claims bonus.
Mobile phone
My phone was a subsidiary phone on XH's mobile phone account and separating the two was a nightmare. To try and get the company to create a completely separate account for me I ended up having to endure a three way conversation on two occasions with XH giving them permission to decouple me from the account. The computer said no so I ended up moving to a different provider altogether but it was a painful process.
Utilities - anything in his sole name will need changing at some point.
Council tax - you can get a discount as a sole resident. No clue how that works with a child in the house but probably worth looking into.
Some or none of the above may be relevant to you but if they are then it's worth looking at what you might want or need in order to change things even if it's a bit too soon for those changes to take place.
Do you own the holiday villa OP?
The one who ups and walks away really does have the easy ride.
Keep On Keeping On 