You will need to seek specific advice on the taxes payable in Bermuda.
If you are non resident in Ireland you will not be liable to pay tax in Ireland, but you need to basically stay out of Ireland for 183 days in a year and 280 days in a tax year and the previous tax year to become non-resident.
You will not be taxable in Ireland on the funds you bring back, but only taxable based on your residence position.
I have assumed that you are Irish resident at the moment and Irish domiciled.
The position may be different if you are non-Irish domiciled.