How old are DC? I only have the one, but found our first holiday last July quite traumatic, but my mum came along to ensure that DD had a good time and didn't have to just put up with me crying all the time. I went away on my own with her in October. Both times to a self catering caravan holiday.
Tips for survival.
Depending on how old DC are, you will have to carry everything yourself. Therefore do not take more than you need of anything! Do not take anything that is overly heavy.
I always have a Tesco shop delivered the morning that I am going away and pack it straight into coolbag/boxes etc so I don't have to buy food when I get there.
Allow them to take a favourite cuddly and 1 toy and 1 gadget (nintendo etc).
Stay on a camp with plenty to do - kids clubs, park, swimming pool etc. I had never used a kids club before last October, but going on my own with DD it was a Godsend. She was occupied every morning and we went swimming every afternoon. We went to the entertainment every night, where she had a disco and I drank wine. We had a lovely week.
When I went with XH we just used the caravan as a base and went out every day. On my own, I never left the park for the week. This year I hope to find a good mix of the two, so will find out about local attractions before I go, facilities, cost, any reductions for buying in advance online, get the postcodes etc so know how to get there.
I am staying at a Parkdean site in a caravan for 4 nights in May and it cost me £95 through The Sun holiday promotions. Holidays don't have to be dear. If you think that camping might be a big struggle on your own, then find a cheap caravan park and save yourself some work.
See if a friend would like to go with you, friends of mine usually go with 2 or 3 other families and all book pitches next to each other.
I have also got 2 nights in a seafront Travelodge in August, family room, cost £27 one night and £24 the other.