Bootstrap Vue is not yet ready for Vue 3.

To answer part of your question, Vue 3 changes the method for instantiating the application instance, including how plugins are registered.

For example...

import { createApp } from 'vue';
import Router from './router/Router';

createApp({/* options */}})
  .use(Router)
  .mount('#app');

You can read more about this at the official docs.

https://v3.vuejs.org/guide/instance.html

https://v3-migration.vuejs.org

Some Bootstrap 4 functions require jQuery, Popper.js, and these functions will conflict with Vue. (These functions modify the DOM directly. Vue won't keep track of these modifications. Any changes made using jQuery could be overwritten by Vue.)

These functions include:

• Affix
• Alert
• Button
• Carousel
• Collapse
• Dropdown
• Modal
• Popover
• Scrollspy
• Tab
• Tooltip

Bootstrap-vue converted most of these functions into Vue, so that it works as expected.

If you only want to use Bootstrap CSS and not its JS related functions, using Bootstrap 4 directly will be more straight forward and requires less time spent learning how Bootstrap-vue works.

Else, use Bootstrap-vue.

If you are not sure, Bootstrap-vue seems like a less risky choice.

The documentation is pretty self-explanatory: https://bootstrap-vue.org/docs/components/pagination

<template>
  <div class="overflow-auto">
    <b-pagination
      v-model="currentPage" // this is the most important, bind the currentPage state to the pagination component, two-way data binding
      :total-rows="rows" // display how much total data there is
      :per-page="perPage" // this one will tell how much data per page you want to display
      aria-controls="my-table" // this is for a11y
    ></b-pagination>

    <p class="mt-3">Current Page: {{ currentPage }}</p>

    <b-table
      id="my-table"
      :items="items" // where to look for the data
      :per-page="perPage"
      :current-page="currentPage" // re-use the current value of the pagination component
      small
    ></b-table>
  </div>
</template>

<script>
  export default {
    data() {
      return {
        perPage: 3,
        currentPage: 1,
        items: [ // your items, that you may replace with a new array if fetching an API in between each pagination page change
          { id: 1, first_name: 'Fred', last_name: 'Flintstone' },
          { id: 2, first_name: 'Wilma', last_name: 'Flintstone' },
          { id: 3, first_name: 'Barney', last_name: 'Rubble' },
          { id: 4, first_name: 'Betty', last_name: 'Rubble' },
          { id: 5, first_name: 'Pebbles', last_name: 'Flintstone' },
          { id: 6, first_name: 'Bamm Bamm', last_name: 'Rubble' },
          { id: 7, first_name: 'The Great', last_name: 'Gazzoo' },
          { id: 8, first_name: 'Rockhead', last_name: 'Slate' },
          { id: 9, first_name: 'Pearl', last_name: 'Slaghoople' }
        ]
      }
    },
    computed: {
      rows() {
        return this.items.length
      }
    }
  }
</script>

Of course, depending of the amount of data, you may want to watch for the currentPage value and make a new API call, fetching the next elements.

As you can see in Github's API here: https://docs.github.com/en/rest/reference/repos#list-repositories-for-the-authenticated-user--parameters