Having fallen behind to Daniel Agger's own goal Bellamy drilled home a shot through a crowd of players and added a second against his former side with a second-half free-kick. Gerrard made a 31-minute substitute appearance - only his second in two months after an ankle infection - and scored the third with a brilliant finish from a narrow angle.
"It's not the first time we've praised him and it certainly won't be the last," said Dalglish of Bellamy, who left the field late on to have four stitches in an eye wound after a clash with Fabricio Coloccini. "He took the first one well because it was tight in the area and the second one was a free-kick."
He added: "The defender ran back on the line for some reason and Andy (Carroll) ran back with him. It went between the goalkeeper and the full-back - it was a good free-kick and may have gone in any way.
"We are delighted for him. We just hope his cut eye isn't too bad. As he came off I just said congratulations to him."
On Gerrard's impact Dalglish added: "When Steven's not playing he's influential so I suppose you can add the word hugely influential when he is in the team.
"He's getting back to fitness which is fantastic reward for him and everyone who has worked with him to get him back to the level he's at now.
"He's always been a huge asset for the football club and he's got a lot of years to go yet and we'll look forward to that. I think we were pretty much in control anyway (before Gerrard's arrival).
"They had a bit of possession at the start of the second half without really threatening but obviously, him scoring the third goal helped us.
"He's put the pressure on himself now, scoring a goal but it's great to see him getting his reward. He's worked really hard to get where he is. It was a freak injury really, so the boy deserves a bit of luck in 2012."
Source: PA