Bottle caps with multi-position valves

A bottle cap comprising:

• a rigid body that is securable to an opening of a bottle;
• a multi-position valve coupled to the rigid body and operable to regulate fluid flow through the bottle cap;
• and
• a lid coupled to the rigid body;
• wherein the bottle cap is adjustable between at least a closed position, a selectively open position, and a fully open position, wherein:
• when the bottle cap is in the closed position, the lid covers the multi-position valve and fluid flow through the multi-position valve is prevented;
• when the bottle cap is in the selectively open position, the lid is uncovered from the multi-position valve, the multi-position valve opens to allow fluid flow through the bottle cap when a flexible portion of the multi-position valve is engaged by a user, and the multi-position valve remains closed to block fluid flow through the bottle cap when the flexible portion is not engaged by the user;
• and
• when the bottle cap is in the fully open position, the lid is uncovered from the multi-position valve and the multi-position valve remains open to allow fluid through the bottle cap whether or not the flexible portion is engaged by the user.