What caliber?
The Accubond is basically a Partition with better aerodynamics. You'll get flat trajectory and deep penetration with expansion. A very good bullet.
The TTSX works very different, many people use them wrong and get poor results. Most bullets, even Partitions and Accubonds lose 30-50% of their weight at impact. Meaning that a conventional 180 gr bullet only weighs 90-125 gr after it hits hide. The TTSX's will maintain 100% of their weight most of the time. Meaning a 130 gr bullet will still weigh 130 gr after impact and give penetration equal to much heavier bullets.
Their disadvantage is that they don't expand well at speeds under 1800 fps, and very little at 2000 fps. For best results they need to impact at around 2200 fps. Since heavy bullets aren't needed for penetration you are better off dropping down in bullet weight until you can get at least 3000 fps at the muzzle. Keep the range close enough so that impact speeds are 2000-2200 fps and they work very well. You will stillbeatthose speeds out to 400-450 yards with most calibers starting at 3000 fps.
When people try to use the same bullet weights they have been using with TTSX's they often get lots of penetration, but little expansion. It usually results in dead game, but often longer blood trails. They do a great job of allowing smaller calibers to killlikebiggercalibers. At close range a 90 gr 243 killslikea 30-06.
Both are more than needed on typical deer, with typical calibers. But if you want to use one bullet on a variety of game including deer, bear, or elk, either would be a good choice. Both are about the same price.