According to the BBers all the universe; Space, time, and energies were wrapped up in a dimensionless point.
Seems to me that if that were true you could put this point in a bucket and carry it off somewhere.
And if the universe could be contained then it could not be infinite.
Of course there are several variations on a BB scenario. In some theories that I have run across the point is as large as six cubic centimeters.
If you have a different model handy then run with it
See what happens