Both players declared themselves amenable to longer-term stays with Kamara determined to sample some of the adulation shown to Larsson, who scored 242 goals in 315 appearances.
"It's a great feeling, I'm so happy to be here," the 29-year-old said.
"When I was younger my football hero was Henrik Larsson and for me it's a dream to play for Celtic.
"He was scoring all the time, every game. He was unbelievably good.
"The fans loved him and go crazy for him. I will try to work hard because I know it's a passionate club.
"The fans love you to work hard for the team, so I will work hard and hopefully score goals because that's why they have signed me."
The Senegal international admits he cannot expect to attain the status of Larsson, but former West Brom team-mate John Hartson has tipped him to be a fans' favourite.
"I could never be at his level, because what he did, nobody had done at Celtic," Kamara continued.
"But I have been talking to John Hartson as well, because I played with him at West Brom.
"He also did so well at Celtic. He told me it's a good chance for me, with my capacity the supporters can love me. It's what I do on the pitch that is most important."
Kamara was also attracted by the lure of the Champions League and working again with former West Brom boss Tony Mowbray.
"In the summer I had some contact with him to come here but it was too early," Kamara continued.
"I worked with him at West Brom and I did well there. He knows how I play and it was very, very important in my decision to come here because he's Tony Mowbray.
"The project is not just for a few months. If I do well, I can sign a permanent transfer."
Kamara went on: "Celtic play every year in the Champions League, and they do well.
"This year I played in the Europa League for Fulham but the Champions League is unbelievable in my mind.
"I have never played in the Champions League. I will try to push Celtic into the Champions League next season.
"I want to be part of Celtic for the next few years."
Kamara could make his debut in the Clydesdale Bank Premier League clash at Kilmarnock, but Braafheid will return to Germany to tie up some loose ends following his quickfire loan move.
Braafheid, a former Utrecht team-mate of Celtic striker Marc-Antoine Fortune and Holland team-mate of defender Glenn Loovens, said: "I know a few players and there was always positive stories about Glasgow and Celtic. I didn't have to think long about it.
"For now it is half a year but if both sides like it very much, you never know.
"There was also interest from Ajax and PSV. That was before Celtic.
"I was also open to that because I need to play but it didn't work out with the two clubs. Celtic came in and I said I would like to go."
Braafheid found first-team opportunities hard to come by at Bayern following his summer move from Twente Enschede and was keen to move out on loan to boost his chances of making Holland's World Cup squad.
"That's definitely one of the main reasons I made this step," the 26-year-old said.
"In Munich I have to be patient and wait for my chance to play. The way they are playing now, it could be for the rest of the season.
"This opportunity came and it was very simple. I want to play and when Celtic come in, a big club like this, you don't have to think twice."
The left-back's international duties took him to Glasgow last year for Holland's late 1-0 victory at Hampden, which ended Scotland's World Cup hopes.
Braafheid said: "I was on the bench and the whole 90 minutes was incredible, the atmosphere.
"For Glenn it was normal but for a lot of players it was an incredible experience. That's what I'm looking forward to."