This is what I would do in your situation assuming you have no dependent children (not advice just ideas!): -
Set yourself a goal of buying a suitable property at age 60, and work towards that, with minimal financial risk.
Between now and age 60, put yourself on a strict financial budget.
Pay off any debts. Save a rainy day fund so you are prepared for any unforeseen costs that arise, or temporary loss of income.
If you are able, ask to stay with any family living nearby for a while, to give yourself a chance to adjust to your new situation, and have some emotional support on-hand, and also to add to your savings and come up with a plan.
Then focus on reducing housing, transport and food costs in the medium term as these are likely to make the biggest impact on finances.
Buy a studio or 1-bed flat close to where you work - within walking distance if possible. Cash buyer from your share of the house sale. Check service charges and ground rent are as low as possible.
Start some heavy duty regular savings habits to build up a bigger house deposit to add to your pension lump sum at age 60. You could still set aside some of your income for a few luxuries and treats, but make it fit around your strict budget, not the other way round.
Keep your current car going for as long as possible.
At age 60, when you have access to your pension lump sum, combine that with the savings accumulated in the intervening seven and a half years.
Assess your salary income combined with your private pension income, and calculate how much of a mortgage you can comfortably afford without scrimping. Find a house to purchase that you can feel at home in. Consider also interest-only mortgages if you don't have sufficient income for a repayment one.
Later, when the state pension kicks in, you could start to pay down the capital or roll the balance into a retirement interest only mortgage (which has no fixed end redemption date).