In January, Woods reached the 6,961 m (22,840 ft) summit of Aconcagua in Argentina, the highest mountain in South America after 17 days.
He said: “Aconcagua tested me in every way imaginable, from battling fatigue to facing the harsh elements, but standing at the summit made it all worth it.
“The sense of achievement and awe at the mountain is indescribable.”
He said he expected the toughest challenges of Everest to include the extreme altitude and the cold – which can reach -30°C and below.
Woods will also face the mental pressure of long summit pushes, particularly navigating the treacherous icefall between Base Camp and Camp 1.
He will climb with a guided team, communicating visually and through written methods when needed, as no BSL interpreter will join the expedition.
Woods said: “I want deaf children – including my own – to see that nothing is out of reach for them.”
After his father reached the summit of Aconcagua, Joseph said: “Wow, that’s good, I love you and you did it, proud of you.”
Melissa Jones, community and events fundraiser at the National Deaf Children’s Society, said: “Michael’s determination is extraordinary.
“Taking on Everest is an enormous challenge for anyone, and he’s doing it to inspire deaf children and raise funds for others who need support just like his family once did.”