Check out Omer Blodgett's book on the design of weldments. All the answers are there. Go to the J. F. Lincoln Foundation at
and buy these three books:
1) "Procedure Handbook"
2) "Design of Welded Structures"
3) "Solutions to Design of Weldments"
These are all massively subsidized and far cheaper than you could find comparable books on the subject. And the best one is the one that is the cheapest at only $3.50, which is the "Solutions to Design of Weldments."
As for your problem, you can probably get by with it as-is if it passes a load test then an NDE on the welds. Gussets would probably help if your welds crack.
But if it were me, to get a good connection at the knees, I would put a plate in the middle of the members like is done on the sign in the following link:
This is an example of a properly-designed knee between two HSS members. Though with the loads you're dealing with, you'll probably be OK. Just test it and subject it to regular inspection. Also do something to keep water from collecting inside if that's a possibility.
Engineering is not the science behind building. It is the science behind not building.