First I use my Nikkor 105mm f2 Micro. This allows me some breathing room between me and the potentially dangerous bug. I created a bit of a haven for bugs in the back yard -- a lot of shrubery, etc. I get a lot of spiders, praying mantis, etc. I allow spiders to spin their web and the only time I intentially distrub them is when I mow the lawn. Also note that many spiders only come our at night or prefer the dark, like black widows.
Keep their environment as natural as possible. Work on their schedule. I once photographed a bug on the side of my house in the middle of the night. Flash was required. I can only imagine what my neighbors must have been thinking.
Bugs are like any other subject. As I have been told by some of the best here, know your subject. Butterflies like flowers. Provide flowers and water to attract them. Spriders are all over the place. Some like dark secluded locations with little wind. Others build their webs to take advantage of the prevailing winds. Black widows like dark, calm, quite locations. If you want to attract them, create such a space...like benieth your hot tub.

They love that! Bugs that eat other bugs want to see bugs.
I have a red yukka plant that attracts bugs and birds. One day, I will photograph that elusive humming bird! Dang, he's fast. My plan for the coming year, more color and a water feature of some sort -- as yet undecided.
Good luck. Also, take advantage of the local hiking and biking trails. Just be careful. -G