Theres a site you can rent carriers from to try them out...what is it called????
This is it!!
I've never used a mei tai so I can't compare, but I've wrapped, used a sling, and a Boba, and the Boba wins hands down for ease of getting baby (when bigger) in and out and off you go. Tho -- I'm still trying to figure out the whole back carry with it, so I can't comment on that ease.
Tenley seems small(er) than my beast, so I think if you want something 2 shouldered, something padded and easy is the way to go, whichever way you choose. There's no right or wrong, just what you like and what she likes.