I have traveled to several countries by myself as well as
Disneyland, and, hopefully, DW in Spring. I never thought I would do that, but my father died right after I graduated and we had had a plan to travel somewhere "far away." I still wanted to but no one else I knew wanted to come with. I felt like my dad wanted me to go so I went off to China by myself...and loved it. Couldn't believe how amazing it was to do whatever I wanted. Tried at 1pm? Nap please. Feel like ice cream at 8am? Yes, I will have two scoops.
Here's the thing I realized, no one care that you are by yourself. I don't mean that cruelly, I mean I used to spend time thinking that people were looking at me funny or pitying me or something until I realized that everyone is caught up in themselves. No one will judge you.
Don't believe me? Test it out. Next time you go anywhere, movies, lunch, wherever, look around and see if there are people by themselves. Would you have eve notice them unless you had been looking? Do they look unhappy, are other people pointing to them? No.
I very much enjoy traveling by myself and even have problems going with others. I love the freedom to choose what to do when, and, from the Disneyland perspective, it made getting FP so much easier. I even got into a restaurant that had no open reservations and was turning people away.
I'm not saying it can't get lonely, but, remember, you don't have to go for 10 days or even a week. Just a few days could be fine.
That said, traveling by yourself is not for everyone. I have very good friends, who I considered fearless and extremely capable, who have told me time and again that they would never go by themselves. That's as valid a choice as anything else.
I would suggest going to a movie or dinner on your own and see how you feel. Take your phone, a book or magazine and see if it's ok. If not, ask yourself why. Do you miss your kids? Maybe solo travel is still good for you but you really don't want to be away from them at the moment. Do you feel awkward? Again, no one notices or thinks you're weird at all. See how many people dine together but say very little to one another. If you just feel like you hate having to do these things alone, then you may have to think that it's not for you, but I would say, try nonetheless and you may be surprised how much you love it.
When I went to Disneyland, I actually took a few notes for a trip report. It gave me something to do while waiting in line. I would pull out a little notebook, check my watch, and note wait times(because I'm a nerd like that). I heard people whispering about how I must be a reporter or a secret shopper or something. Doing something like that focusing you and gives you something to do.