Where (and how) you went on holiday in the 1960s depended (as ever) on money and class.
For most working class families (in the 20th C usuage of the phrase!) then it was UK bucket-and-spade. They might stay with family near the coast (grandparents or uncles/aunts) and stay at B&B; holiday camp; caravan.
The caravan park was very popular as there were regular visitors at the same time each years and became like a village - and some still do to this day.
Transport for most working class families was train or coach, shared cars with other family and (still) the motocycle with sidecar combination, although that faded as the decade went on. Families starting to own their own car made a HUGE difference.
Travelling to the continent (as it was known then!) was very rare for all families, not just working class.