Videomaker – Learn video production and editing, camera reviews › Forums › Specialty Topics › How to make dynamic texts blend as part of the original video? › I don’t know of an “easy” way
I don't know of an "easy" way to do this. You could keyframe the text but this would require a frame by frame adjustment of the text position. It may be possible to use motion tracking software — After Effects, Premiere Pro, for example — and I'm sure there are many other programs as well. A quick check of Google leads to quite a few; you should check these out to see if any will do what you want, within your budget.