Please do NOT lie( or just fail to tell your landlord) about your pets. It makes it so much harder for people renting to find places because landlords get tired of being screwed over, especially by those who just don't want to pay the pet deposit(most of which is generally refundable if you don't allow them to cause damage). Most states, landlords ARE allowed to come in and inspect the property with notice...especially if every time they come over and you don't allow them in, they are going to get suspicious as to why and can request to come ensure the property is still OK.
Sugar gliders are messy - they throw pee/poop and food all over which can ruin walls/carpet - a cage cover can't prevent everything. When you play with them, they will again pee/poop because gliders can't be potty trained. They also can be pretty noisy barking(depends on the glider) and making a racket running on their wheels at night(even if the wheel is silent, the rattling of the cage often is not). Even if you clean up fairly well, the mess could end up affecting future tenants who think they are renting a pet-free apartment/home.
If that landlord won't let you have your pets, then don't move there in the first place or wait until you can move into a pet-friendly home. You can make that choice and its not fair to the landlord or future tenants to lie - it only makes it harder and harder for responsible owners to find places willing to accept pets.