Welcome to the group, Lilapriti. You have a Phalaenopsis orchid. In our article library there is an article on Growing the Phalaenopsis Orchid (Moth Orchid). This information should be helpful for you.
On cutting the 'spikes' off: I recommend cutting them back to about one inch above the plant. You can cut the back below the third node and it is possible the spike will branch and produce more blooms, but this could also stress your plant. We cut them back after the blooms fall.
Glad to have you in our orchid community.