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You should be able to simply copy the fonts from your old computer fonts folders to those of the new one. Which and where depend on your OS.
For each old computer font folder, you may select and copy everything, then paste into the corresponding new computer font folder; you may choose to replace no duplicates, some, or all. The last is fastest, but there may be newer versions on the new one so the first may be best, only transferring those you would otherwise miss.