The former world number five had the removal men in after his recent run to the World Open final in China, but a lack of practice did not show as he crushed fellow English potter Gould 4-1 with runs of 65, 70, 58 and 78.
Lee is approaching the form which made him a top-10 regular earlier in his career, and the 37-year-old said: "I'm feeling in a good place and looking forward to the rest of the season.
"Earlier in the season I was worried about dropping out of the top 16 but that pressure is off now. I've been travelling to events with Matthew Stevens who is a light-hearted guy so it's nice being on the road.
"I was moving house last week, carrying boxes and furniture around, so I've not practised since last Saturday but I still managed to play well today."
Unlike Lee, it was a dismal day for Stevens at the tournament which features the world's elite players and carries a first prize of £70,000.
The Welshman, twice a losing World Championship finalist, was on the wrong end of a 4-0 scoreline against Englishman Ricky Walden.
Walden's emphatic win over Stevens included breaks of 66, 130, 95 and 131, and sets up an all-English tussle with Ronnie O'Sullivan in the last 16.
Now Walden believes he can cause an upset against the former world number one.
"I haven't played Ronnie for a while, it will be a big crowd and good fun," Walden told worldsnooker.com. "My scoring is my strong point and if my safety game is there as well I can beat anyone."
Another Welshman, Dominic Dale, lost 4-2 to China's Xiao Guodong who was defying doctor's orders by playing with a broken hand, suffered in his sleep last month.
Xiao, 23, told worldsnooker.com: "It was very painful and I went to hospital. The doctor put a cast on it and said I couldn't play snooker for three months."
Mark Davis beat Tom Ford 4-1, and Jack Lisowski was watched by flatmate Judd Trump as he edged out Barry Hawkins 4-3 thanks to a break of 99 in the deciding frame.