I certainly do know who this iconic British duo are and that is Paul "Chuckle" Elliot and the late Barry "Chuckle" Elliot of ChuckleVision. ChuckleVision is one of the shows which made British Children's TV shows quite iconic in the 90's and funnily enough, I do recall that they had a children's gameshow dubbed as "To Me, To You."
The other iconic British Children TV shows that I remember watching back when I was a child which include Thomas the Tank Engine (in the years it had Beatles star Ringo Starr as the narrator), Pingu, CBBC's Playdays, CITV's It's a Mystery, Art Attack, Finders Keepers, Fun House as well as certain cartoons that were so good at the time.
Another classic British TV show that I remembered watching in the late 90's was a show called Robot Wars, a robot combat competition which is quite similar to Battlebots with the exception that the hazards are the house robots.
EDIT: Here is one of the episodes of the Robot Wars Series 2 Grand Final which aired back in 1998 and one of the greatest surprises as Welsh robot Panic Attack took on favourites Cassius: