Run a group gift without chasing anyone

Several people chipping in and nobody wanting to collect the money.

Help me run a group gift. Give me the order of decisions: budget first, then the gift, then who collects.

Write the message to the group stating the gift, the amount each, the deadline and how to pay, in that order, with an easy way to opt out. Then the follow-up for people who have not paid, worded so it does not nag.

Occasion, group size and rough budget:

Occasions and group gifts. Milestones, weddings and new babies, celebrations, and organising several givers or several presents.