Hello could you please help me make a cake
Of course! Here's a simple recipe for a classic vanilla cake:

Ingredients:

2 cups (240g) all-purpose flour
1 1/2 cups (300g) granulated sugar
1/2 cup (1 stick or 113g) unsalted butter, softened
1 cup (240ml) whole milk
3 large eggs
2 1/2 teaspoons baking powder
1/2 teaspoon salt
1 tablespoon vanilla extract
Instructions:

Preheat your oven to 350°F (175°C) and grease two 9-inch (23 cm) round cake pans. You can also line the bottom of the pans with parchment paper for easier removal.

In a large bowl, cream the softened butter and granulated sugar together until light and fluffy, using an electric mixer on medium-high speed. This should take about 3-5 minutes.

Add the eggs, one at a time, to the butter and sugar mixture, making sure to mix well after each addition.

In a separate bowl, whisk together the flour, baking powder, and salt.

Add the dry ingredients to the wet ingredients in 3 parts, alternating with the milk, beginning and ending with the dry ingredients. Mix until just combined after each addition. Be careful not to overmix the batter.

Stir in the vanilla extract.

Divide the batter evenly between the two prepared cake pans, smoothing the tops with a spatula.

Bake for 25-30 minutes, or until a toothpick inserted into the center of the cakes comes out clean. The cakes should be golden brown and spring back when lightly pressed.

Allow the cakes to cool in the pans for about 10 minutes, then remove them from the pans and transfer to a wire rack to cool completely.

Once the cakes have cooled, you can frost them with your favorite frosting, such as buttercream or cream cheese frosting. Place one layer on a serving plate, spread frosting on top, then add the second layer and frost the entire cake.

Enjoy your homemade vanilla cake!
I don't have any eggs, what would make for a good substitute?
As you don't have any eggs the following are decent alternatives.

1. Applesauce: Substitute each egg with 1/4 cup of unsweetened applesauce. This will add moisture to the cake and help bind the ingredients together.

2. Yogurt: Substitute each egg with 1/4 cup of plain yogurt. This will add moisture and tanginess to the cake.

3. Buttermilk: Substitute each egg with 1/4 cup of buttermilk. This will add moisture and tanginess to the cake, as well as help with leavening.

4. Vinegar and baking powder: Mix 1 tablespoon of white vinegar with 1 teaspoon of baking powder, and substitute each egg with this mixture. This will help with leavening and binding.

You can follow the rest of the recipe as usual.