If you live in Georgia for the entire year and work remotely for a Colorado company for the entire year, you will have to file a Georgia resident tax return. You will not have to file a Colorado tax return.
You will be living and working in Georgia, so all of your income will be Georgia income and you will pay Georgia tax on it. You will have no Colorado income, so you will not have to pay Colorado tax. A few states tax remote workers from other states, but Colorado is not one of them.
If you occasionally go to the company office in Colorado, any income that you earn for the time you are in Colorado will be Colorado income. You will have to file a Colorado nonresident tax return and pay Colorado tax on the income that you earn there. All of your income is also taxable by the state that you live in, no matter where the income is from. You will get a credit on your Georgia tax return for part or all of the tax that you pay to Colorado, to avoid double taxation.
When you move, make sure that your employer stops withholding Colorado tax and does not report any Colorado income on your W-2. Ask them if they can withhold Georgia tax. If not, you will have to make quarterly estimated tax payments to Georgia.
For the year that you move, you will have to file part-year resident tax returns for both states.
