Lambert completed his move from Southampton last weekend just hours after being named in England's World Cup squad.
"It's been a life-changing couple of weeks," admitted Lambert, 32. "It's been a life-changing couple of years. I'm trying to enjoy every second of it.
"Walking into Melwood (Liverpool's training ground), I couldn't recognise it. I hadn't been back since I trained there as a kid.
"I hope it does give hope. It's about working hard and believing in yourself. Anything you can do to improve your lifestyle and your own game, you must do it."
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