Can I cleanse my home's energy with ince

Yes — incense can be part of it, but it isn't doing the work. The house changes because you clean, open the windows, fix the thing that's been bothering you, and clear the clutter; the smoke just marks the moment. If you like the smell and the ritual, that's a real reason to burn it. If you don't, nothing is missed.

Two practical things if you do burn it: never leave a stick or a cone unattended, and keep the room ventilated while it smokes — incense smoke is fine particles and CO, so a closed room in a house with kids, pets, or asthma is the actual downside, not the "energy."

Tarot wouldn't be the right tool for that question, by the way — cards read situations and decisions, not the state of a building's atmosphere. If what you're really asking is whether the home feels right, or whether a move, a fight, or a tenant is behind the heaviness you keep feeling there, say the word and I'll pull cards on that instead.