Best approach to getting a mortgage with past bad debts and ccj

Hello everyone,
It's a long time since I've posted on here but recall getting some much needed help and support a few years back when I was really struggling, so hoping someone might be able to advise again.
So in 2005 I bought a shared ownership property in south London, and then 3 months later found myself made redundant. I found work quite quickly, but unfortunately at a lower salary (about £5k less per year) and gradually started to mount up debt. Being fairly young at the time (23), I didn't manage this very well, and ended up with a CCJ for £700 in 2012, plus about 5 defaults with various companies including HSBC (remember the unfair charges scandal?!), and a pay day loan company. I also had additonal payday loans but these didn't default. After spending much time on this site, I started to sort things out, and made payment arrangements for minimal amounts to clear the debts. In totalnI owed about £10k, which, considering my salary at the time, was huge.

Since about 2010, my financial situation started to improve as I progressed in my career, and I've been fortunate enough to see my income gradually increase to £45k, which I've been earning for the last 2 years. I've also come into a small amount of inheritance and last year sold my flat for a small profit. This has allowed me to clear the majority of my debts, starting with the CCJ, which I cleared in July 2016. I still have a couple of debts outstanding but I have the money to clear these and will be doing this asap. I also now have almost 2 years worth of payments on my credit record which have been made on time, including for my mortgage (before I sold last year), which I previously had problems paying (but managed to get a default removed after complaining to the Ombudsman as Halifax had systematically refused to acknowledge any of my offers to clear the arrears).

I now live with my partner in his flat, and we want to buy a house. He has about £200k equity in his flat, and between us we have an income of approx £85k. However, because of my past history, I'm worried that my credit status will make it really hard for us to get a good mortgage (or get one at all) and I feel guilty because that also then will impact on my partner.

Does anyone have any idea how lenders would view my history if we applied for a mortgage together? Property prices are about £600k (at the cheap end) in our local area and we'd like to stay here if possible. We would use the equity as deposit, so think we would be able to comfortably cover repayments on £400k mortgage, depending on the interest rate. I know the fact that I have so many defaults and the CCJ is quite bad, but they are all between 4 - 5 years old, some will fall off early next year, and I think one will fall off in May this year. Also, how would my bad credit affect my partner in terms of us applying for the loan together? Will his record be affected even though the debts are mine? He has a very strong credit history, no late payments or other issues.

Sorry for writing a short novel but wanted to explain the context of my query. I know for many it will seem like I have nothing to worry about compared to the ongoing debt problems some are still facing, but I have been there and had some very dark days, and have been fortunate enough to haul myself out after many years of slogging away. Any help with my query would be really appreciated, thanks.