The purpose of this question is 2-fold.
1.) The list of objects above is chosen on purpose to be very varied. The heart nebula is very wide and faint, M33 (Andromeda's Galaxy) is 6 times the size of the moon. On the other hand, M3, and M13 and more tight globular clusters. For visual astronomy it's said that one needs at least a 200mm telescope to resolve the stars. Lastly, we have M51, and M63 which are galaxies that become smaller and smaller with distance. As a beginner, I would like to learn from more experienced people how they would frame the objects above, i.e.: learn what equipment they would use so I can take better pictures as well.
2.) The other underlying question I am trying to answer for myself is with that large range of objects (in size and apparent magnitude): What is the minimal number of OTAs needed to cover such a large range? I am asking because initially, I naively thought that I could use my 6" F5 Newtonian to cover many use cases such as visual observations of the above objects, but also astrophotography of objects in the case above. What I am learning though is that this telescope has certain limits in terms of framing. That OTA with my m43 camera limits are M33 which only mostly fits in the FOV. On the other hand, M51 is a nice object and the 6" Newtonian can capture that but it's starting to look smallish. Other smaller galaxies probably need a longer focal range. At this time, I am considering getting another scope something between 70-80mm F5-6. This purchase would enable me to fully capture larger objects. On the other hand, refractors like that are also much more portable (as in being able to take it on an airplane) compared to a 6" Newtonian which is still portable but only car road trip portable. In essence, I want to go as minimalist as possible in terms of OTA acquisition. For instance, my thinking is that if I want to go even wider, instead of purchasing another telescope, a camera telelens could cover that aspects, so I would purchase that instead of a single-purpose OTA. I hope that purchasing the 6" Newtonian has not been a misstep already to get to that goal (but I digress).