Is Lastpass a widely trusted thing? other than the obvious refrain: "of course it is - its a password manager"?
Is its security known for being well regarded?
They've been the target of security breaches in the past and are currently receiving bad press because of a bait and switch they did with users on their free plan.
What LastPass did was they removed functionality of a free plan -- functionality which they had for several years (I think over 5 years now) and then decided to remove it, most likely because they thought the marketing value of the free plan was no longer worth the potential sales cannibalization. (I'm not an employee and have no inside knowledge). This is a straightforward business decision that firms do all the time. You can always take your zero dollar business elsewhere.
I wouldn't consider LastPass to be the most secure password manager, and I'm not sure I would recommend them as my favorite, but they are very easy to use, are the market leader, and it is important that they stay in business, as on balance these password managers do improve the overall security of the web.