If you buy a set, you'll get some knives you may never need or use.
Your best bet is to individually buy them for your purpose and need, in the long run you'll save money and only own the knives you will use.
While many will recommend many good brands, I have recently found that the Dexter Sani-Safe line is very affordable and a good quality knife used in commercial kitchens. I had purchased some for my helper and I actually think they are easier to handle than some of my Wusthof Knives. They are much cheaper and they take abuse well, but that's my personal opinion.
In any event, knife sets make for convenient purchasing, but, buying individual pieces with specific purpose is the way to go. For a BBQ specific set, I would want a 4" paring knife, 10" Chef knife, 12"-14" slicer, 6" stiff boning (beef and pork), 6" flexible boning knife (poultry), a set of poultry shears, and a sharpening steel to start. There are so many you can add to the mix if you want to expand...
My preference for commercial use would be Dexter Russel Sani-safe knives. The handles just work for me, especially with wet or bloody hands. But Mercer "Millennia" is also a good buy for the money. I have Mercers that I bought on sale from Webstraurant. Price was very good and quality is also great IMHO.
Both Mercer and Dexter-Russel are very popular knives in the food industry. They are affordable, they can take abuse, and they hold an edge very well. Both have been around for many years providing knives to the food and restaurant industry.
Many years ago I paid big bucks with the belief that Wusthof knives were the best as others raved about them. With daily use and abuse, yes Wusthof's are great knives, but I refused to let my helpers touch them, so I bought them Dexter-Russel's and Mercer's. Long story short I was helping a friend and did not have my personal knives so I used my helper's set. I was amazed at balance and quality, and they worked well throughout the day. I left the event thinking that maybe I bought into the hype and paid too much for the Wusthof's when other quality knives were much more affordable.
I am not saying that Wusthof's are not great knives, they are fantastic. What I am saying is that with constant use, I find the Dexter-Russell and Mercer to be great knives as well. If I had known, I would have been happy with the latter and I would have saved a lot of money.
The bottom line is that it's your choice and your money, only you have to be satisfied with your purchase, and only you have to be happy with their use and their ability to hold an edge.
Also, while a good knife with the ability to hold an edge is very important, the person holding the knife also needs to have at least basic skill as well.