I hope this is helpful and answers your question.
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You can continue to live in your home as your primary residence after giving it away, provided you pay a market rent to the new owner. Bear in mind that the new owner may have to pay Income Tax on the rent you pay them.
If you don't pay a market rent, the gift will be considered a 'gift with reservation of benefit' and the house may be subject to Inheritance Tax.
If the above were to apply i.e.gift with reservation of benefit and provided the estate was not above the threshold for IHT purposes, there would be no IHT implication. If the property was deemed part of your parents' estate then CGT would not apply.
I hope this is helpful.