George Formby sang with with a banjo uke. If you look at clips of his songs, when he was actually singing he just did simple strums with his thumb or thumb and forefinger. The fancy strums were for the instrumental solos.

Most ukulele players don't use picks, don't need them.

Try the ukulele underground forum. Lots of useful advice there and plenty of info on different makes.

http://ukuleleunderground.com/forum/