View The Thicket apartments today on RentDeals.com for immediate access to photos, floor plans, rates, amenities, and maps. The Thicket Apartments in Houston offer many amenities to prospective renters, which can be viewed on RentDeals.com The Thicket Apartments in Houston are located within miles of Houston?s attractions. Users will also have access to current property specials such as move-in incentives, which could include zero security deposits and no application fees. Once you locate your new apartment, please be sure to refer RentDeals.com on your application to receive a cash back rebate up to $200 from us!