Hi Sharon
Another view on this is to discover what the sound is you want to work towards and / or the type of music you want to play, maybe what attracted you to the sax in the first place - it becomes a goal to work towards, rather than rolling the dice and getting new kit that may or may not help you.
Generalisations are made about narrow tip, small chamber pieces being for classical style where you don't want tonal variations over the horn (eg Selmer C*, narrow Links). Jazzers get the medium chamber / tip opening pieces (eg Meyer 5-7s). Funk rockers have to compete for volume with electrified instruments, so need all the help they can get from wide opening, high baffle pieces (eg some Berg Larsens, Guardalas, Vandoren Javas, Dukoffs)
Your teacher is your best guide to whether your chops are up to heavier gear, although many are fairly inflexible when it comes to helping you work towards a sound they don't dig.
The equipment search can become a real obsession... I try and narrow down the targets of my pupils to what they wanna actually do when playing music and match equipment from there... and it's not unknown to have several mouthpieces to cover a range of music.
FWIW On alto I play a Meyer 7 for classical and ensemble gigs (large chamber, medium tip); a JodyJazz DV 7 for righteous jazz (med-high baffle, metal, edgy) and a Beechler 8 for generating infringement notices (a veritable high baffle, stainless steel chainsaw)
My 5p
Simon