How to create equal tags field of stack overflow?

I'm developing a recipe site and one of the fields to register the recipe, these are the tags.

I wanted to put a function equal to that of stackoverflow, an input that as I'm typing it brings the tags and, when I click, it adds in this input, to feed the table. And also wanted the possibility of inserting a new tag if it does not already exist

I have 3 tables, the one of the recipe, the one of tags and the one that links the tag with the recipe

receitas
idreceita|nome
1        |Como fazer arroz

tags
idtag|nome
2    |fim de semana

receita_tag
id|idreceita|idtag
1 |   1     |  2

I'm using PHP and Mysql