I got my new computer all set up i put all the programs on it for photography.    I already switched everything from my old lightroom to the new one (all the photos, catalogs, info.)   Now is there anything specific to do for LRTimelapse?  Thanks!

No, just install LRTimelapse and activate your license on the new computer.

Okay, thank you. What if i want to keep all the edits Ive done to my TL videos already on the old computer?

The edits are stored in XMP files in the folders where your original images are, so if you access those via the new computer you will have them right there.