If I'm a parent considering moving to Vandœuvre, what is the main purpose of the 'Petite enfance' service, and what different levels or types of educational institutions, from preschool to university, are available in the city according to the website?
Navigate to the 'Bien vivre' section. Click on 'Enfance et famille'. Click on 'Petite enfance'. Identify and extract the primary function of the 'Petite enfance' service. Navigate back to the 'Enfance et famille' section using the breadcrumbs. Click on 'Écoles, collèges-lycées, universités'. List all types of educational institutions mentioned on this page. Synthesize the extracted information into a concise answer.
State that the 'Petite enfance' service connects childcare and leisure facilities for very young children with parents. List 'Ecoles maternelles', 'élémentaires', 'collèges', 'lycées', 'composantes de l’Université de Lorraine', and 'l’école municipale de musique' as the types of educational institutions available. All information provided must be accurate and directly verifiable from the website.