When burning the Boot loader code, does it draw more?
Now that's an interesting question, and I don't recall seeing anything about it in the datasheet.
Usually writing to flash memory involves using an internal charge pump to generate a higher voltage, and those don't have a reputation for being very "low-power." But I'm not sure what actions would end up even turning the charge pump on or off...
I used to burn my own EPROM and EEPROM during the early IBM-PC era, they required a good supply of juice -- hence the question to be safe.
Power is less an issue since I have reconsidered what to run my other part of the circuit with. Initially, I was thinking of powering everything off a single 7805. My other stuff (to use the ATMega) will use 60mA-70mA. I just may give "the other stuff" a separate LM317 since I want to run that at about 6-7V and leave the 7805 for the LCD and the ATMega part of the circuit. That will leave me room to grow.
Once I get my circuit put together, I will try to remember to monitor it some and see what kind of current draw during a boot-loader burn.