If you are going through Houston, I-10 straight through is generally the best bet, the bypass loops just take you out of your way, and all tend to have similar levels of traffic as going straight through, at least in certain areas. Traffic on Saturday will be lighter than on Friday, and downtown Houston is almost a ghost town on Sundays.
p.s. If there are downtown traffic issues, I tend to find I-610 south being the better option than I-610 north, though you do have to deal with the ship channel bridge when going south. Many of the toll roads around Houston are Texas EZ Tag only roads with no conventional toll booths.