There are a few restrictions that will be relaxed from next week - including the limit of the number of people at weddings and wakes (although social distancing restrictions may still place some limits on the number of people that venues can accommodate) and overnight trips for groups of children. You can read the guidance here:
A 4-week delay will also increase the number of people vaccinated before restrictions are relaxed, and the national booking system is now open to people aged 23 and over:
Please remember there's always a rush to book when the vaccination programme opens up to a new age cohort - if people can't see any local slots, it's worth checking again in a few days, as they're added whenever a new delivery of vaccine is confirmed.