There’s some good information on the government website about this.
Regarding children moving between your household and theirs, this is fully permissable and does not constitute a support bubble. As single parents you are each allowed to form a support bubble separate to this with one other family. The gov.uk website states that you are eligible to form a support bubble if “you are a single adult living with one or more children who are under the age of 18 or were under that age on 12 June 2020”.
I have a support bubble myself but when I have my children in my care I don’t spend time with the person in my support bubble. I think your question is regarding the children doing just that?
I think according to the rules this is permissible but I suggest you check out the gov.uk website (just google “gov.uk support bubble” and you should find an article called Making a support bubble with another household)
I hope you find the information you’re looking for and it puts your mind at ease x
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