Hi,
Using the remittance basis, means that only income and gains arising in the UK and any remitted income and gains are taxable. Unremitted income and gains is not taxed in that tax year, but if brought to the UK in a later tax year, it will be taxable in that later tax year.
To claim the remittance basis means that you will need to complete a self assessment tax return, to declare the unremitted income and gains.
You state that you will transfer £128000 from the sale of the property. This will become remitted income and may subject to Capital Gains Tax. If the property was your main residence for the whole period of ownership, then the private residence relief will cover any capital gain.
Have a look at below for guidance on private residence relief.
Private Residence Relief (Self Assessment helpsheet HS283)
Also, have a look at section 9 of RDR1.
Residence, domicile and the remittance basis: RDR1
Thank you.