Your iPad will suffer no ill effects through being connected to its Power Adapter for extended periods. Your iPad will automatically regulate and optimise charging - and will not overcharge the battery.
When used in kiosk applications - where external power is connected for extended periods of time - the iPad may modify its charging strategy and limit battery charge to ~80% of maximum. This modified charging strategy is designed to reduce chemical ageing that might otherwise occur if 100% charge is maintained at all times.
Nominal 100% charging will be restored when a normal charge/discharge routine is restored.
More information about iPad’s battery management can be found here:
About iPad and iPhone Charge Management Feature – Apple Support
Charging you iPad every night will help to ensure that your iPad is always ready for use. What you shouldn't do is deliberately fully discharge the battery - as, if the battery is permitted to remain in this state, the battery may enter a state of deep-discharge, this being a condition from which the battery may not recover or may be permanently damaged.
Modern Li-ion battery chemistry does not benefit from full charge/discharge cycles. Regular partial charging will not harm the battery in any way - and may actually extend the usable life of the battery.
In summary, don't try to micro-manage your battery charging. Instead, charge when you can, not necessarily when you need to do so.