About us. City Pets Animal Care. a multi-doctor, companion animal PRIVATE practice is seeking a full-time. Veterinarian. to join our amazing team of professionals in Downtown Nashville, TN. . What we offer our team members. Fantastic Working Environment and Schedule (NO weekends, holidays or after-hours. ). We see patients 8am - 5pm, Monday-Friday ONLY. Flexible schedule with alternating 3 day weekends if desired. Full hour lunch breaks - no pati...