When considering the best place to celebrate a birthday, each option has its pros and cons:

1. **Fast-Food Restaurant**:
- **Pros**: Typically affordable, casual atmosphere, and quick service. Good for larger groups as there's often seating available, and kids usually enjoy this type of venue.
- **Cons**: Limited menu options, and may lack a festive atmosphere. Additionally, it might feel rushed due to turnover.

2. **Sit-Down Restaurant**:
- **Pros**: More variety in food, a nicer and more relaxed atmosphere, which can make the celebration feel special. You can also create a reservation for a more organized event.
- **Cons**: Higher costs, and there might be a wait time if the restaurant is busy. Seating may be limited based on the size of the party.

3. **At Home**:
- **Pros**: Ultimate flexibility in terms of food, decorations, and activities. It’s often more personal and can create a cozy and intimate atmosphere. You can invite as many people as your space allows.
- **Cons**: More preparation and cleanup required. It may also lack the excitement of going out.

**Best Choice**: It ultimately depends on your preferences and the vibe you want for your birthday. If you want a relaxed, homey feel with more control over the details, hosting at home might be the best choice. If you prefer convenience, a fast-food restaurant could work, while a sit-down restaurant is ideal for a more special celebration. For a balance of atmosphere and convenience, the sit-down restaurant might be the best overall choice.