Hi Nick and welcome to IIS and amateur astronomy in general!
I live in light polluted skies too aprox bortle 7. Like you I started out with 10x50mm binoculars which are excellent for learning the night sky and getting your first taste of visual observing with optical aid. I've since upgraded to a 10 inch dob. As far as what you can see under light polluted skies, the following objects will be observed nicely in your 76mm scope:
NGC 5139 Omega Centauri
NGC 104 47 Tucanae
NGC 3532
M45
M42
NGC 3372 Eta Carinae nebula
M44
NGC 3114
M22
NGC 2516
Open Clusters in general are great targets for a small scope in light polluted skies. Double stars, the moon and planets also make great targets! Enjoy your journey and post an observing report when your ready, I for one would love to read it! Above all have fun
All The Best
Joe