1. Every fire needs to have somewhere to send its exhaust. If you want yours to go up a chimney, that is perfectly fine. The flue from the top of a stove can simply poke up into a conventional chimney opening, and it can be made airtight by wadding rockwool all around.
2. Every fire needs to take in air to support combustion. You do this by bringing an outside air vent in under\in your floor and connecting straight into your sealed fire appliance (stove). The "Clearview" stove linked to above takes its air in from the bottom of the stove, so it is a simple matter of bringing a vent in to underneath the stove and then sealing the gap between the top of the vent (in your hearth floor) and the air intake of the stove- which is simply a metal ring to bridge the gap to the bottom of the stove from the floor (i.e. the gap is the same height as the stove legs).