A flexible container for resting on a surface when in a filled condition, comprising: a panel structure of flexible web material, defining a pouch that has a top opening; a rigid fitment in the top opening, having a fitment opening through which the pouch can be filled with liquid; an upper handgrip coupled to the pouch configured to be grasped by a hand fully about the upper handgrip to suspend the pouch solely by the upper handgrip in an upright orientation in which the fitment opening faces upward; a lower handgrip coupled to the pouch configured to be grasped by a hand fully about the lower handgrip to suspend the pouch solely by the lower handgrip in an inverted orientation in which the fitment opening faces downward for liquid in the pouch to flow by gravity out of the pouch through the fitment; wherein the upper and lower handgrips (86, 90) are further configured to be manually grasped for suspending the pouch simultaneously by both handgrips in a partially inverted orientation in which the fitment opening faces sideways for the liquid to flow by gravity out from the pouch through the fitment; and wherein the upper and lower handgrips (86, 90) comprise a straight horizontal section and two opposite vertical sections that define a flap, wherein the flap is configured to be bent upward about a horizontal fold line when the upper and lower handgrips (86, 90) are manually grasped, wherein the panel structure includes front and rear panels (31, 32) of flexible web material, and the upper and lower handgrips (86, 90) are bounded by openings in the front and rear panels, and wherein the container further comprises a pair of front suspensions formed from the front panel and a pair of rear suspensions formed from the rear panel, wherein the front suspensions extend from opposite ends of the upper handgrip to the pouch and the rear suspensions extend from opposite ends of the upper handgrip to the pouch, wherein the front and rear suspensions (62, 62') bear the weight of the pouch when the pouch is lifted in the upright orientation, and wherein in the pouch's partially inverted orientation one of the pairs of suspensions (62, 62') bears part of the weight of the pouch while the other pair of suspensions (62, 62') is folded at a fold lines extending along an imaginary line directly behind the fitment such that the upper handgrip is located above the fitment when the pouch is lifted in the partially inverted orientation. a panel structure of flexible web material, defining a pouch that has a top opening; a rigid fitment in the top opening, having a fitment opening through which the pouch can be filled with liquid; an upper handgrip coupled to the pouch configured to be grasped by a hand fully about the upper handgrip to suspend the pouch solely by the upper handgrip in an upright orientation in which the fitment opening faces upward; a lower handgrip coupled to the pouch configured to be grasped by a hand fully about the lower handgrip to suspend the pouch solely by the lower handgrip in an inverted orientation in which the fitment opening faces downward for liquid in the pouch to flow by gravity out of the pouch through the fitment; wherein the upper and lower handgrips (86, 90) are further configured to be manually grasped for suspending the pouch simultaneously by both handgrips in a partially inverted orientation in which the fitment opening faces sideways for the liquid to flow by gravity out from the pouch through the fitment; and wherein the upper and lower handgrips (86, 90) comprise a straight horizontal section and two opposite vertical sections that define a flap, wherein the flap is configured to be bent upward about a horizontal fold line when the upper and lower handgrips (86, 90) are manually grasped,