I wouldn't recommend summoning fairies, as that is rude and they wouldn't tolerate it. However, you can attract them in several ways. Fairies love gardens, so if you have a personal garden, fairies might decide to head there. Music also gets a fairies' attention, if it isn't the loud and rude kind. All kinds of sweets attract fairies, but it also attracts bugs, so it's not the best method. If you have children where you live, or like you said, you're a child at heart, you might already be having fairies around you. Personally, I never worked with a fairy, but they have come around in my home a number of times, usually because of my little bothers (they see them too sometimes).
I don't see fairies as being physical beings, but more a spiritual being, kind of like a nature spirits. To draw them in, normally people would make a little "fairy garden" in a large pot. Planting vibrant flowers and decorating it as well.
Here's a link to ideas for fairy gardens:
Of course, you can always look up on Google Images for other ideas.