You have no icons or cross yet, but do you have a space, no matter how small, that you have set aside for prayer? If so, tape it to the wall there. If not, designate one, and tape it to the wall there. Icons and crosses will come later.
If you must dispose of it, burn it or bury it (or take it to Church and give it to your priest, he'll dispose of it in proper manner with other blessed items that have accumulated).