Beginning skates for new skater

I am 31 and about to start group skating lessons! Rental skates are included in the cost, but I feel like I should buy my own pair because rental skates might hinder the skills I’m learning. I’d really like to practice frequently and get pretty good. Thoughts on that? If I purchase, I plan on going to a skate shop at the rink and getting fitted. I figured getting a boot/blade package would be best instead of purchasing separate? What brands/models would you all suggest? Is it realistic to think I could purchase a quality pair for my level at $150 or less? My fear of going to a shop is getting robbed since I know nothing about skates/types…Thank you!