At London prices, if the 10k odd stamp duty saving is that critical you definitely don't have enough contingency in your budget for a fixer-upper. Depressingly, 10 grand doesn't go very far these days- its a nice lump of cash to have but you can't live comfortably on it for long (you can exist on it for ages but that's a whole other story). My feeling (i may be wrong here) is that city prices will drop or hold steady for a year or 2 with the disruption from covid and Brexit (especially in the SE where a fair few financial services jobs will be looking shaky)