@BooksAndChooks
No, I wouldn't advise borrowing more at all.
The reasons I say you could be sitting on a 'little goldmine' (sorry - a little long-winded)...
You have a very good rate over a long term fixed time frame. Hold onto it. Soon these favourable mortgage rates are likely to be a very distant memory!
Inflation means the value of your actual mortgage debt is decreasing real terms over time (inflation benefits debtors). The higher the inflation rate, the less your mortgage debt is worth in real terms. And inflation is the highest it's been in 30 years and predicted to go significantly higher - excellent news for those on a relatively tiny rate.
Also, as house prices rise, the proportion of the equity outstanding on the mortgage gets smaller - in 10 years your mortgage will be a much smaller fraction of the value of your house than now, because your house will be worth more. (This would happen even if you were on an interest-only mortgage due to inflationary effects). So you will have access to better mortgage deals even if you find mortgage rates are higher. Plus the impact on your household expenses will be much reduced because everything, including your income will have risen - except the balance of your mortgage.
Now on top of that - you have excess to save and can use this to earn interest at a higher rate than your mortgage interest.
So suppose you save, for instance, £3600 per year - (£300 per month).
Mortgage interest on this amount over 10 years approx £735.
But saving £3600 at 3% interest will produce £1258 - a profit of £523 after 10 years.
Saving £500 per month will yield you a profit of £871, so the more you save the greater the profit margin after mortgage interest is accounted for.
Now, suppose interest rates rise to 5% - (they are strongly predicted to rise)..
Saving £500 per month will yield £3882 over 10 years and your mortgage interest on that same amount is £1225 - a profit of £2657. Further interest rate rises will produce significantly more profit.
Over time your salary will increase due to inflationary pressures, and you may well be able to save more. This will widen the gap between the interest you are being charged on the mortgage and the profit from savings due to effects of compound interest.
The point is - you know your mortgage interest rate now, but you don't know how high savings interest rates will rise - and the higher they rise the more profit you will make. It could be just a little - or it could be a lot. A 10% rate, saving £500 per month would produce a whopping £9,017 profit, after deducting mortgage interest.
This is why it's virtually risk free to hold off - that saved money will still be there to pay down the mortgage at any point in the 10 years ahead if you need to.