Using 'begrudge' often implies negative emotions, suggesting jealousy or resentment towards someone's good fortune. I hate to say it, but I begrudge their constant traveling; it just doesn't seem fair.
Pro Tip 2/3
Uneasy Acceptance
'Begrudge' can express a sense of conceding something, but with a lingering feeling of annoyance or jealousy. He begrudged the praise his rival received, knowing he worked just as hard.
Pro Tip 3/3
Cautious Empathy
It's used when acknowledging someone's success or happiness, but with a hint that you wish it were you. I begrudge her the huge inheritance she received, even though she's my best friend.