My process, if not my luck, sounds a lot like Halogen's.
I track my sweeps on My Lucky List. I go down the list and open 5-10 windows at a time, using the control-click method to open them in new tabs. (I open fewer windows if there are a lot of flash sweeps in a bunch, since it taxes my poor computer.) I use the free version of Roboform, which allows me 10 saved passcards. I use those for long-running sweeps with survey questions or long forms, like the Marriott Million Point instant win, or sweeps that Autofill doesn't completely fill out that tend to repeat themselves, like the Brides' magazine entries and MyLifetime.
I currently have 79 dailies and I can blow through them ... well, before I discovered the control-click method in the past week, I could do them in 20 minutes, so it's quicker than that now. I usually have a hard time timing my entries because I have two small helpers interrupting me.
Anyway, I try to get my 24 hour daily entries in first thing in the morning, then the dailies, and the instants. Mondays I do weeklies and sometime during the first week of the month, I do the monthlies. I check the Last Chance sweeps once, and the New Sweeps throughout the day. If I've been away for a while, I'll go through the list of One Time and 24 hour daily sweeps to make sure I've picked up all the ones I want; the list of dailies is long, so I tend not to go through that one as often.
And if, like today, I finish early, I actually find myself bored. I rarely go out seeking other sweeps, tho. I really enjoy tracking them through My Lucky List and can't be bothered with tracking my sweeps any other way.
My winnings for the year? $470 and change. A lot of Flat Earth Crisps from Subway! LOL!