This will depend on how traditional you want to go.

Most couples are hosting their own weddings so they just add their names with "are tying the know" or "Come enjoy the day with us"

If you want to go more traditional there are some etiquette rules you should take note of.

You can view some examples here

Being upfront and honest with your guests is the best approach to inform them that you will not be having children at your wedding:

Adults-Only Reception

Our wedding is adult only, thank you

The venue does not cater to children

We love your children, but due to space restrictions we cannot accommodate guests under age 18 on our wedding day

Unfortunately, we cannot host any children at our wedding. We appreciate your understanding.

It is very normal for weddings to not include all drinks:

No-host bar

Dinner is on us. The drinks are on you.

Dinner included. Alcohol extra.

All drinks free except alcoholic drinks.

Bring cash for spirits and alcohol.

Bar service available for cash.

We’ve provided a bar service. Drinks will be provided with cash.

Card facilities available for drinks.

While some couples appreciate receiving homeware and restaurant gift certificates as wedding gifts, others would prefer to get cash to spend however they wish, but understandably, this is not something they feel comfortable discussing directly:

Your presence at our wedding is gift enough, but, should you wish to give a gift as well, a cash gift to put towards our honeymoon would be greatly appreciated.

Your presence at our wedding is the greatest gift of all. However, if you wish to honour us with a gift, a cash gift would be very welcome.

If a gift is on your mind,
A contribution would kind.
It will help us more than words can say,
To celebrate our special day!

We can also add banking details or a Paypal link if that is the way you want to do it.