i haven't gone to any of the ones you mentioned so i might not be the most useful but i do attend a top 5 selective school and ngl no one attends those centres like i hadn't even heard of intuition until rn lol. so if you don't mind going to different centres:
in general for math most do either dr du or kurt (kurt is esp popular for ext 2 maths but you do need to get into it through an entrance exam where if you fail you js cant go whereas if you do badly on the dr du entrance exam you could still be assigned to one of the lower classes (a3/b)). the classes are pretty fast paced (unless you're in b they're a few weeks behind) and content heavy but they have weekly tests that force you to consolidate and test your knowledge. warning: in dr du they have a strike policy where if you fail x amount of tests/don't submit your hw x amount of times you get demoted. worse however, if you fail your kurt tests you get detention which (i think idk i don't go) is where you have to complete a long set of questions on the topic you failed for normally a few hours (you can't leave until you're done and the questions are very hard apparently) and they can pile up into the holidays. i knew multiple people who had like weeks worth of holiday detention...not fun but they're all pretty damn good at math so at least it pays off...i would say these places are mainly focused towards those who are already pretty strong in math and regardless i would highly recommend studying for these entrance exams.
english mostly private. imo unless you're bad at english as in you tend to rely on teachers to unpack texts in class/cannot analyse a text by yourself i would honestly recommend private over a class bc i think personalised feedback is more important for english, esp if you feel like your essay/creative writing skills are lacking but you can understand what the text/syllabi are pointing to. but if you prefer a class ik a good portion of people that go to scholardome or the brain, i just can't comment on what their classes are like.
for chem either cognito or ace - i personally go to cog and the accelerated stream is really good if you want to get ahead as you get a whole terms worth of HSC revision at the end of the HSC course while the standard stream is still doing mod 8. also the cog tutors in my experience have all been so supportive and you can schedule in tutes (tutorials) with your tutor if you feel like you need some extra help on a certain topic.
i don't take bio but a lot of students that do across my school + our brother school go to project academy. i would assume based on that its good for bio in terms of content and pacing. project has mandatory tutes per week with a different tutor to your class tutor in which you ask questions/complete hw which is always good to ensure people fix their problem areas. [this is kind of an aside and NOT related to the bio course, maybe ask around to see if you can find someone who did that] but my experience w/ project was a bit different: i went there for their accelerated math course (all of HSC 2U and 3U in year 11) and its pretty good. however, besides their accel math course, for math specifically project tends to have "easier"/slower paced classes with an easier range of practice questions/hw as i think they cater to a wider range of students. the other reason why they take a lot of time is because you have to write your own notes during the class. when i say write its more like your tutor will copy the notes from their exemplar booklets and then you copy those down, which tends to waste time, especially for chem (all the students in my grade that did chem at project switched to cog for this exact reason). if you tend to prefer this pacing/want more support for math (or chem) you could try them out as it kinda blends class and private tutoring bc of the permanent tutes. but if you're already pretty strong in these subjects/really wanting to get ahead and get a high band 6 result i would prob skip.
for tutoring in general i would recommend a course that is at least somewhat accelerated when compared to your school because it allows you to get an initial grasp of the content (basically like scheduled in priming) so that during school you can fully understand/digest it faster/better. you can then treat school lessons as a form of active recall which should help to develop your retention of content, thus boosting your ability to apply it to exam questions.
sorry for the long and kinda messy post. obv you don't need to go to these places but maybe do some more research into your options before deciding. i hope this helps in some way. dw too much tho since you're still in y10 you have a lot of time to experiment with different places and decide what works best for you. gl!!
