Welcome to Cruise Mates. Lots of wonderful people here with great information, so you've come to the right place.
I have several single clients who love to cruise and always say how much fun it is as a single person to go on a cruise than doing other types of vacations by themselves. So I'm sure you'll have a wonderful time.
First, make sure you find a reputable agent, preferably a Cruise Specialist, who can help you with all your plans and answer all your questions.
Next, you need to decide what type of cruise you're looking for and which cruise line will meet your requirements, budget, and lifestyle.
I'm about your age (63) and prefer a more relaxed and sedate cruise with great food and not alot of kids, so we much prefer Celebrity or Holland America. But for those who are a bit more active, they may prefer some of the many other cruise lines.
Keep in mind that often a single has to pay twice the fare as a single, but sometimes single specials are offered to lower that rate. Your agent can help find those.
Here's a little information to consider; the cruise rate you see advertised is actually made up of two fares - the cruise fare and the NCF's or port fees as they're called. When travel single, the cruise line will often double the cruise fare - this is called a 200% single supplement. Sometimes they will offer a special that will lower this to 150% or even 125%. In the past, we use to get this as low as 100%, but that doesn't happen very often anymore. Now here's the thing; the port fees should only be charged once for a single, but several cruise lines charge more than that and often up to double, which is just their way of making more profit off a single cruiser because they don't have to pay that much for a single.
For example, I just had a single gentleman (age 59) wanting to do an NCL cruise. They are one of the cruise lines who charge double the port fees. When I asked him why NCL he said he found the rate was cheaper than others. I actually found him a Holland America cruise that was only $18 more because of the difference in port fees (HAL was only charging 175% for the port fees). After doing research on the issue, he was ecstatic about finding something that was much better suited for him that he had not previously considered.
So it can sometimes really pay to look beyond the advertised rate because those are based on double occupancy and sometimes can be misleading for singles.
Good luck with your search and I hope you find the perfect cruise.
But one word of warning; once you go on a cruise, you're going to be hooked and will want to go again and again!