One tip that I saw on telly some dozen years ago helps enormously when re-potting.
Take a selection of plastic pots of the sizes you most use.
Fill them with cement/fine concrete and place a stick in them to act as a handle when the mixture is set.
When transplanting, use the appropriate size as a former in the new pot; compost can be firmed as required without falling down inside the former, which is then withdrawn and the transplant popped neatly into the hole that is left.
My original formers are still in use and well worth the effort in making them.