If you are otherwise happy with the Lantus then Basaglar is "identical" - same insulin, same formula, same production

Lantus is made by Sanofi and Basaglar is made by Mylan - so simply two different companies both are "glargine" type insulin - a human insulin that is just (reproduced) lab grown

Levimir is from a different class - "detemer" made by Novo Nordisk - a gigantic insulin mfg - also a human insulin - works the same as above, just a different formula

The Tresiba is yet another (type) called "degludec", also made by Novo Nordisk - it's a lab enhanced insulin (they tried to build a better mouse trap) - and is described as ultra-long acting so should treat longer then any of the other options

If you want "no change", you are happy with what you were using, the Basaglar is identical

But if you want "an improved version" the Tresiba should, in theory, be the best choice.

Did you discuss the pros/cons of your (new) options with your Doc? They may have some additional insight, experience or preference and can better advise

I've been on Tresiba now almost a year, doing well for me.