Are your trees evergreen? Or do they lose their leaves for winter?

What sort of soil is under your bermuda grass? Does it go rock-hard in summer? Or is it easy to dig for most of the time?

Do you plan to make patches of bulbs in the grass (like digging out a divot)? Or are you intending to make a regular bed? Any particular shape? And, how much late winter-early spring sun reaches the area you're planning to plant?

The trees lose their leaves in Fall/winter. They are standard landscape trees, about 10-15 feet in height, not very large.
One tree has maple shaped leaves which are green in color during the summer. I guess its a maple tree. The other has white flowers early in the spring and then green leaves in the summer. I dont know the name.
Under the bermuda is rock hard clay - very hard to dig.

I am not sure if I should just make holes in the existing grass or make a bed. Leaving the grass around the holes would make it difficult to cut the grass in the spring, I suppose.. so I would think a small area devoted to the bulbs would be the answer. I am thinking of planting the bulbs by the driveway and in front of the front door - kind of like a L-shape. The area gets sun until 1 pm, I think. And then the house shades the area in the afternoon.