Migration to vue-cli

[obulat]

Fixes #63

Description

Migration from previous vue-webpack setup to vue-cli to update dependencies and make managing them easier.

Other information

Checklist:

• My pull request has a descriptive title (not a vague title like Update index.md).
• My pull request targets the master branch of the repository.
• My commit messages follow best practices.
• I added tests for the changes I made (if applicable).
• I added or updated documentation (if applicable).
• I tried running the project locally and verified that there are no
  visible errors.

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[akmadian]

Looks good to me, good work! I'll let you do the honors of clicking the merge button if you'd like :)