How high can the interest rates get?

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With such variable saving you are using cashflow budgeting.

Do a SOA one for now and one for a house purchase.

Budgeting is the way to understand your finances.

You can save zero->£2k per month, mortgage needs paying every month.

What are your current committed expenses.

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You cant predict the future from the past.

What you can do is look at trends.

Which lenders tend to have good follow on rates.
Which lenders tend to have good retention deals.
(factors in the need to change lender risks)

Problem is the lenders have a few ways to vary deals First Direct used to have the best options trackers/offsets they became less competitive.

Fee levels have changed a lot meaning a bit more work to do comparisons.

Loads of other factors.